Rathore, Ajay Singh; Shanthi, Vembu A numerical method for a system of singularly perturbed Fredholm integro-differential reaction-diffusion equation. (English) Zbl 1522.65267 J. Comput. Appl. Math. 437, Article ID 115457, 13 p. (2024). MSC: 65R30 45J05 45B05 65L11 65L20 PDFBibTeX XMLCite \textit{A. S. Rathore} and \textit{V. Shanthi}, J. Comput. Appl. Math. 437, Article ID 115457, 13 p. (2024; Zbl 1522.65267) Full Text: DOI
Wei, Minzhi Existence of traveling waves in a delayed convecting shallow water fluid model. (English) Zbl 07804426 Electron. Res. Arch. 31, No. 11, 6803-6819 (2023). MSC: 35Q35 76B15 35C07 35B25 35C08 35B10 35A01 35A02 35R07 45B05 14K20 PDFBibTeX XMLCite \textit{M. Wei}, Electron. Res. Arch. 31, No. 11, 6803--6819 (2023; Zbl 07804426) Full Text: DOI
Gunes, Baransel; Cakir, Musa A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions. (English) Zbl 07800810 Comput. Math. Math. Phys. 63, No. 12, 2513-2527 (2023). MSC: 65R20 65L10 65L11 65L12 34E15 45J05 PDFBibTeX XMLCite \textit{B. Gunes} and \textit{M. Cakir}, Comput. Math. Math. Phys. 63, No. 12, 2513--2527 (2023; Zbl 07800810) Full Text: DOI
Cakir, M.; Cimen, E. A novel uniform numerical approach to solve a singularly perturbed Volterra integro-differential equation. (English) Zbl 07786674 Comput. Math. Math. Phys. 63, No. 10, 1800-1816 (2023). MSC: 65R20 45-XX PDFBibTeX XMLCite \textit{M. Cakir} and \textit{E. Cimen}, Comput. Math. Math. Phys. 63, No. 10, 1800--1816 (2023; Zbl 07786674) Full Text: DOI
Durmaz, Muhammet Enes A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations. (English) Zbl 1522.65131 J. Appl. Math. Comput. 69, No. 5, 3601-3624 (2023). MSC: 65L11 65L12 65L20 65R20 45J05 PDFBibTeX XMLCite \textit{M. E. Durmaz}, J. Appl. Math. Comput. 69, No. 5, 3601--3624 (2023; Zbl 1522.65131) Full Text: DOI
Panda, Abhilipsa; Mohapatra, Jugal On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations. (English) Zbl 1522.65260 J. Appl. Math. Comput. 69, No. 4, 3509-3532 (2023). MSC: 65R20 45J05 45D05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{A. Panda} and \textit{J. Mohapatra}, J. Appl. Math. Comput. 69, No. 4, 3509--3532 (2023; Zbl 1522.65260) Full Text: DOI
Erkomekovna, Mirzakulova Aziza; Kudaibergenovich, Dauylbayev Muratkhan Asymptotic expansion of the solution for singularly perturbed boundary value problem with boundary jumps. (English) Zbl 07701553 Miskolc Math. Notes 24, No. 1, 309-324 (2023). MSC: 45-XX 45M05 PDFBibTeX XMLCite \textit{M. A. Erkomekovna} and \textit{D. M. Kudaibergenovich}, Miskolc Math. Notes 24, No. 1, 309--324 (2023; Zbl 07701553) Full Text: DOI
Durmaz, Muhammet Enes; Yapman, Ömer; Kudu, Mustafa; Amiraliyev, Gabil M. An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation. (English) Zbl 07700114 Hacet. J. Math. Stat. 52, No. 2, 326-339 (2023). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. E. Durmaz} et al., Hacet. J. Math. Stat. 52, No. 2, 326--339 (2023; Zbl 07700114) Full Text: DOI
Rathore, Ajay Singh; Shanthi, Vembu; Ramos, Higinio A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term. (English) Zbl 1522.65132 Appl. Numer. Math. 185, 88-100 (2023). MSC: 65L11 65R20 45B05 45J05 PDFBibTeX XMLCite \textit{A. S. Rathore} et al., Appl. Numer. Math. 185, 88--100 (2023; Zbl 1522.65132) Full Text: DOI
Panda, Abhilipsa; Mohapatra, Jugal A robust finite difference method for the solutions of singularly perturbed Fredholm integro-differential equations. (English) Zbl 1511.65156 Mediterr. J. Math. 20, No. 4, Paper No. 198, 19 p. (2023). MSC: 65R30 34K26 45J05 PDFBibTeX XMLCite \textit{A. Panda} and \textit{J. Mohapatra}, Mediterr. J. Math. 20, No. 4, Paper No. 198, 19 p. (2023; Zbl 1511.65156) Full Text: DOI
Durmaz, Muhammet Enes; Amirali, Ilhame; Amiraliyev, Gabil M. An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition. (English) Zbl 1512.65301 J. Appl. Math. Comput. 69, No. 1, 505-528 (2023). MSC: 65R20 65L11 45J05 45B05 65L12 PDFBibTeX XMLCite \textit{M. E. Durmaz} et al., J. Appl. Math. Comput. 69, No. 1, 505--528 (2023; Zbl 1512.65301) Full Text: DOI
Allouch, Samar; Milišić, Vuk Friction mediated by transient elastic linkages: extension to loads of bounded variation. (English) Zbl 1506.45008 J. Integral Equations Appl. 34, No. 3, 267-294 (2022). MSC: 45K05 45M05 35Q92 74M10 92C17 PDFBibTeX XMLCite \textit{S. Allouch} and \textit{V. Milišić}, J. Integral Equations Appl. 34, No. 3, 267--294 (2022; Zbl 1506.45008) Full Text: DOI
Çakır, Musa; Güneş, Baransel A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh. (English) Zbl 1513.65513 Hacet. J. Math. Stat. 51, No. 3, 787-799 (2022). MSC: 65R20 45J05 45D05 45B05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{M. Çakır} and \textit{B. Güneş}, Hacet. J. Math. Stat. 51, No. 3, 787--799 (2022; Zbl 1513.65513) Full Text: DOI
Durmaz, Muhammet Enes; Amirali, Gabil; Kudu, Mustafa Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition. (English) Zbl 1493.65121 Turk. J. Math. 46, No. 1, 207-224 (2022). MSC: 65L11 65L12 65L20 65R20 45J05 PDFBibTeX XMLCite \textit{M. E. Durmaz} et al., Turk. J. Math. 46, No. 1, 207--224 (2022; Zbl 1493.65121) Full Text: DOI
Cakir, Musa; Ekinci, Yilmaz; Cimen, Erkan A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer. (English) Zbl 1513.65214 Comput. Appl. Math. 41, No. 6, Paper No. 259, 14 p. (2022). MSC: 65L05 65L11 65L12 65L20 65R20 45B05 45J05 PDFBibTeX XMLCite \textit{M. Cakir} et al., Comput. Appl. Math. 41, No. 6, Paper No. 259, 14 p. (2022; Zbl 1513.65214) Full Text: DOI
Bobodzhanov, Abdukhafiz A.; Kalimbetov, Burkhan T.; Safonov, Valeriy F. Algorithm of the regularization method for a singularly perturbed integro-differential equation with a rapidly decreasing kernel and rapidly oscillating inhomogeneity. (English) Zbl 07547860 J. Sib. Fed. Univ., Math. Phys. 15, No. 2, 216-225 (2022). MSC: 45Jxx 34Exx 45Kxx PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} et al., J. Sib. Fed. Univ., Math. Phys. 15, No. 2, 216--225 (2022; Zbl 07547860) Full Text: MNR
Bobodzhanov, A. A.; Kalimbetov, B. T.; Safonov, V. F. Algorithm of the regularization method for a nonlinear singularly perturbed integro-differential equation with rapidly oscillating inhomogeneities. (English. Russian original) Zbl 1490.65312 Differ. Equ. 58, No. 3, 392-404 (2022); translation from Differ. Uravn. 58, No. 3, 395-406 (2022). MSC: 65R20 45G05 45J05 65R30 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} et al., Differ. Equ. 58, No. 3, 392--404 (2022; Zbl 1490.65312); translation from Differ. Uravn. 58, No. 3, 395--406 (2022) Full Text: DOI
Durmaz, Muhammet Enes; Cakir, Musa; Amirali, Ilhame; Amiraliyev, Gabil M. Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method. (English) Zbl 1486.65291 J. Comput. Appl. Math. 412, Article ID 114327, 15 p. (2022). MSC: 65R20 45J05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{M. E. Durmaz} et al., J. Comput. Appl. Math. 412, Article ID 114327, 15 p. (2022; Zbl 1486.65291) Full Text: DOI
Cakir, Musa; Gunes, Baransel Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations. (English) Zbl 1491.65167 Georgian Math. J. 29, No. 2, 193-203 (2022); correction ibid. 30, No. 1, 159 (2023). MSC: 65R20 45J05 65L05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{M. Cakir} and \textit{B. Gunes}, Georgian Math. J. 29, No. 2, 193--203 (2022; Zbl 1491.65167) Full Text: DOI
Panda, Abhilipsa; Mohapatra, Jugal; Reddy, Narahari Raji A comparative study on the numerical solution for singularly perturbed Volterra integro-differential equations. (English) Zbl 1492.65216 Comput. Math. Model. 32, No. 3, 364-375 (2021). MSC: 65R20 45D05 45J05 65L11 PDFBibTeX XMLCite \textit{A. Panda} et al., Comput. Math. Model. 32, No. 3, 364--375 (2021; Zbl 1492.65216) Full Text: DOI
Cimen, Erkan; Cakir, Musa A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem. (English) Zbl 1476.65336 Comput. Appl. Math. 40, No. 2, Paper No. 42, 14 p. (2021). MSC: 65R20 45J05 45B05 65L10 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{E. Cimen} and \textit{M. Cakir}, Comput. Appl. Math. 40, No. 2, Paper No. 42, 14 p. (2021; Zbl 1476.65336) Full Text: DOI
Saha, Dipankar; Sen, Mausumi Existence criteria and solution search by the analytic technique of functional integral equation. (English) Zbl 1473.45007 J. Integral Equations Appl. 33, No. 2, 247-257 (2021). MSC: 45G05 45G10 PDFBibTeX XMLCite \textit{D. Saha} and \textit{M. Sen}, J. Integral Equations Appl. 33, No. 2, 247--257 (2021; Zbl 1473.45007) Full Text: DOI
Amiraliyev, Gabil M.; Durmaz, Muhammet Enes; Kudu, Mustafa A numerical method for a second order singularly perturbed Fredholm integro-differential equation. (English) Zbl 1474.65488 Miskolc Math. Notes 22, No. 1, 37-48 (2021). MSC: 65R20 45B05 65L10 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} et al., Miskolc Math. Notes 22, No. 1, 37--48 (2021; Zbl 1474.65488) Full Text: DOI
Durmaz, Muhammet Enes; Amiraliyev, Gabil M. A robust numerical method for a singularly perturbed Fredholm integro-differential equation. (English) Zbl 1461.65216 Mediterr. J. Math. 18, No. 1, Paper No. 24, 17 p. (2021). MSC: 65L11 65L12 65L20 45J05 PDFBibTeX XMLCite \textit{M. E. Durmaz} and \textit{G. M. Amiraliyev}, Mediterr. J. Math. 18, No. 1, Paper No. 24, 17 p. (2021; Zbl 1461.65216) Full Text: DOI
Dauylbayev, M. K.; Uaissov, B. Integral boundary-value problem with initial jumps for a singularly perturbed system of integrodifferential equations. (English) Zbl 1496.45002 Chaos Solitons Fractals 141, Article ID 110328, 7 p. (2020). MSC: 45F05 45J05 PDFBibTeX XMLCite \textit{M. K. Dauylbayev} and \textit{B. Uaissov}, Chaos Solitons Fractals 141, Article ID 110328, 7 p. (2020; Zbl 1496.45002) Full Text: DOI
Yapman, Ömer; Amiraliyev, Gabil M. A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation. (English) Zbl 1480.65383 Int. J. Comput. Math. 97, No. 6, 1293-1302 (2020). MSC: 65R20 45D05 45J05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{Ö. Yapman} and \textit{G. M. Amiraliyev}, Int. J. Comput. Math. 97, No. 6, 1293--1302 (2020; Zbl 1480.65383) Full Text: DOI
Amiraliyev, Gabil M.; Durmaz, Muhammet Enes; Kudu, Mustafa Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation. (English) Zbl 1442.65136 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 1, 71-88 (2020). MSC: 65L11 65L12 65L20 65R20 45J05 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} et al., Bull. Belg. Math. Soc. - Simon Stevin 27, No. 1, 71--88 (2020; Zbl 1442.65136) Full Text: DOI Euclid
Amiraliyev, Gabil M.; Yapman, Ömer; Kudu, Mustafa A fitted approximate method for a Volterra delay-integro-differential equation with initial layer. (English) Zbl 1488.65735 Hacet. J. Math. Stat. 48, No. 5, 1417-1429 (2019). MSC: 65R20 45J05 45G10 65L10 65L12 65L20 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} et al., Hacet. J. Math. Stat. 48, No. 5, 1417--1429 (2019; Zbl 1488.65735) Full Text: Link
Das, Anupam; Rabbani, Mohsen; Hazarika, Bipan; Arab, Reza Solvability of infinite system of nonlinear singular integral equations in the \(C(I \times I, c)\) space and modified semi-analytic method to find a closed-form of solution. (English) Zbl 1449.45007 Int. J. Nonlinear Anal. Appl. 10, No. 1, 63-76 (2019). MSC: 45F15 47H10 PDFBibTeX XMLCite \textit{A. Das} et al., Int. J. Nonlinear Anal. Appl. 10, No. 1, 63--76 (2019; Zbl 1449.45007) Full Text: DOI
Hazarika, Bipan; Srivastava, H. M.; Arab, Reza; Rabbani, Mohsen Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution. (English) Zbl 1428.45003 Appl. Math. Comput. 360, 131-146 (2019). MSC: 45G05 47H08 47H09 47H10 65R20 PDFBibTeX XMLCite \textit{B. Hazarika} et al., Appl. Math. Comput. 360, 131--146 (2019; Zbl 1428.45003) Full Text: DOI
Mugnai, Dimitri; Proietti Lippi, Edoardo Neumann fractional \(p\)-Laplacian: eigenvalues and existence results. (English) Zbl 1425.35219 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 455-474 (2019). MSC: 35R11 35J20 35K59 35A15 47J30 35S15 47G10 45G05 PDFBibTeX XMLCite \textit{D. Mugnai} and \textit{E. Proietti Lippi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 455--474 (2019; Zbl 1425.35219) Full Text: DOI arXiv
Amiraliyev, Gabil M.; Yapman, Ömer On the Volterra delay-integro-differential equation with layer behavior and its numerical solution. (English) Zbl 1438.65319 Miskolc Math. Notes 20, No. 1, 75-87 (2019). MSC: 65R20 45D05 45J05 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} and \textit{Ö. Yapman}, Miskolc Math. Notes 20, No. 1, 75--87 (2019; Zbl 1438.65319) Full Text: DOI
Eshkuvatov, Zainidin Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations. (English) Zbl 1405.65166 Numer. Algebra Control Optim. 8, No. 3, 337-350 (2018). MSC: 65R20 45E05 42A10 65D30 PDFBibTeX XMLCite \textit{Z. Eshkuvatov}, Numer. Algebra Control Optim. 8, No. 3, 337--350 (2018; Zbl 1405.65166) Full Text: DOI
Feng, Yihu; Mo, Jiaqi A class of singularly perturbed hyperbolic nonlinear integral-differential system. (Chinese. English summary) Zbl 1399.35350 J. East China Norm. Univ., Nat. Sci. Ed. 2017, No. 3, 39-47 (2017). MSC: 35R09 35B25 45K05 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{J. Mo}, J. East China Norm. Univ., Nat. Sci. Ed. 2017, No. 3, 39--47 (2017; Zbl 1399.35350) Full Text: DOI
Bobodzhanova, M. A.; Tuichiev, O. D. Construction of an asymptotic limit mode in a system of integral equations. (English. Russian original) Zbl 1379.45003 Differ. Equ. 53, No. 9, 1103-1113 (2017); translation from Differ. Uravn. 53, No. 9, 1139-1148 (2017). MSC: 45F05 45M05 45D05 PDFBibTeX XMLCite \textit{M. A. Bobodzhanova} and \textit{O. D. Tuichiev}, Differ. Equ. 53, No. 9, 1103--1113 (2017; Zbl 1379.45003); translation from Differ. Uravn. 53, No. 9, 1139--1148 (2017) Full Text: DOI
Hendi, F. A.; Al-Qarni, M. M. The homotopy perturbation method for solving nonlinear Volterra-Fredholm integral equation with singular Volterra kernel. (English) Zbl 1373.45001 Far East J. Appl. Math. 96, No. 4, 233-243 (2017). MSC: 45B05 45E10 PDFBibTeX XMLCite \textit{F. A. Hendi} and \textit{M. M. Al-Qarni}, Far East J. Appl. Math. 96, No. 4, 233--243 (2017; Zbl 1373.45001) Full Text: DOI
Demiralp, Metin; Tuna, Süha Zero interval limit perturbation expansion for the spectral entities of Hilbert-Schmidt operators combined with most dominant spectral component extraction: formulation and certain technicalities. (English) Zbl 1373.65093 J. Math. Chem. 55, No. 6, 1253-1277 (2017). MSC: 65R20 45C05 45P05 47A10 47B07 47G10 PDFBibTeX XMLCite \textit{M. Demiralp} and \textit{S. Tuna}, J. Math. Chem. 55, No. 6, 1253--1277 (2017; Zbl 1373.65093) Full Text: DOI
Eliseev, A. G.; Shaposhnikova, D. A. Asymptotic integration of a singularly perturbed Volterra equation in the case of a spectral singularity of first order. (English. Russian original) Zbl 1372.45003 Math. Notes 101, No. 5, 824-829 (2017); translation from Mat. Zametki 101, No. 5, 716-722 (2017). MSC: 45D05 45M05 PDFBibTeX XMLCite \textit{A. G. Eliseev} and \textit{D. A. Shaposhnikova}, Math. Notes 101, No. 5, 824--829 (2017; Zbl 1372.45003); translation from Mat. Zametki 101, No. 5, 716--722 (2017) Full Text: DOI
Bobodzhanov, Abduhafiz A.; Bobodzhanova, Maushkura A.; Safonov, Valeriiy F. Regularization and asymptotic solutions of nonlinear singularly perturbed problem with diagonal degeneration of the kernel. (Russian. English summary) Zbl 1359.65304 Differ. Uravn. Protsessy Upr. 2016, No. 1, 11-30 (2016). MSC: 65R20 65R30 45J05 45G10 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} et al., Differ. Uravn. Protsessy Upr. 2016, No. 1, 11--30 (2016; Zbl 1359.65304) Full Text: Link
Archibasov, A. A.; Korobeinikov, A.; Sobolev, V. A. Passage to the limit in a singularly perturbed partial integro-differential system. (English. Russian original) Zbl 1359.45004 Differ. Equ. 52, No. 9, 1115-1122 (2016); translation from Differ. Uravn. 52, No. 9, 1160-1167 (2016). Reviewer: Joseph Shomberg (Providence) MSC: 45K05 35R09 92C60 65R20 45L05 45M05 PDFBibTeX XMLCite \textit{A. A. Archibasov} et al., Differ. Equ. 52, No. 9, 1115--1122 (2016; Zbl 1359.45004); translation from Differ. Uravn. 52, No. 9, 1160--1167 (2016) Full Text: DOI
Bobodzhanov, Abdukhafiz A.; Safonov, Valerii F. A problem with inverse time for a singularly perturbed integro-differential equation with diagonal degeneration of the kernel of high order. (English. Russian original) Zbl 1350.65142 Izv. Math. 80, No. 2, 285-298 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 2, 3-15 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45J05 45M05 47G20 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Izv. Math. 80, No. 2, 285--298 (2016; Zbl 1350.65142); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 2, 3--15 (2016) Full Text: DOI
Kudu, Mustafa; Amirali, Ilhame; Amiraliyev, Gabil M. A finite-difference method for a singularly perturbed delay integro-differential equation. (English) Zbl 1346.65076 J. Comput. Appl. Math. 308, 379-390 (2016). MSC: 65R20 45D05 45A05 45J05 PDFBibTeX XMLCite \textit{M. Kudu} et al., J. Comput. Appl. Math. 308, 379--390 (2016; Zbl 1346.65076) Full Text: DOI
Farina, Leandro; Ferreira, Marcos R. S.; Péron, Victor The airfoil equation on near disjoint intervals: approximate models and polynomial solutions. (English) Zbl 1342.76091 J. Comput. Appl. Math. 298, 97-104 (2016). MSC: 76M22 45E05 45L05 65R20 76G25 PDFBibTeX XMLCite \textit{L. Farina} et al., J. Comput. Appl. Math. 298, 97--104 (2016; Zbl 1342.76091) Full Text: DOI
Bobodzhanov, A. A.; Safonov, V. F. Asymptotic solutions of Fredholm integro-differential equations with rapidly varying kernels and irreversible limit operator. (English. Russian original) Zbl 1346.45001 Russ. Math. 59, No. 10, 1-15 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 10, 3-18 (2015). MSC: 45B05 45J05 34E05 34K26 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Russ. Math. 59, No. 10, 1--15 (2015; Zbl 1346.45001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 10, 3--18 (2015) Full Text: DOI
Rabbani, Mohsen Modified homotopy method to solve non-linear integral equations. (English) Zbl 1326.45003 Int. J. Nonlinear Anal. Appl. 6, No. 2, 133-136 (2015). MSC: 45G05 PDFBibTeX XMLCite \textit{M. Rabbani}, Int. J. Nonlinear Anal. Appl. 6, No. 2, 133--136 (2015; Zbl 1326.45003) Full Text: Link
Bobodzhanov, A. A.; Safonov, V. F. Regularization method for nonlinear integro-differential systems of Fredholm type with rapidly varying kernels. (English. Russian original) Zbl 1323.65124 Differ. Equ. 51, No. 2, 255-267 (2015); translation from Differ. Uravn. 51, No. 2, 251-262 (2015). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45G15 45J05 45B05 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Differ. Equ. 51, No. 2, 255--267 (2015; Zbl 1323.65124); translation from Differ. Uravn. 51, No. 2, 251--262 (2015) Full Text: DOI
Şevgin, Sebaheddin Numerical solution of a singularly perturbed Volterra integro-differential equation. (English) Zbl 1343.45009 Adv. Difference Equ. 2014, Paper No. 171, 15 p. (2014). MSC: 45J05 65R20 65L11 PDFBibTeX XMLCite \textit{S. Şevgin}, Adv. Difference Equ. 2014, Paper No. 171, 15 p. (2014; Zbl 1343.45009) Full Text: DOI
Nyagu, Vasile Essential spectrum of perturbed singular integral operators. (English) Zbl 1340.45021 ROMAI J. 10, No. 1, 105-121 (2014). MSC: 45P05 45E05 45E10 PDFBibTeX XMLCite \textit{V. Nyagu}, ROMAI J. 10, No. 1, 105--121 (2014; Zbl 1340.45021)
Lin, Juan; Du, Jinyuan Stability of displacement to the second fundamental problem in plane elasticity. (English) Zbl 1313.30149 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 1, 125-140 (2014). MSC: 30E20 30E25 45E99 PDFBibTeX XMLCite \textit{J. Lin} and \textit{J. Du}, Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 1, 125--140 (2014; Zbl 1313.30149) Full Text: DOI
Chen, Zhong; Cheng, Xue An efficient algorithm for solving Fredholm integro-differential equations with weakly singular kernels. (English) Zbl 1294.65112 J. Comput. Appl. Math. 257, 57-64 (2014). MSC: 65R20 45B05 45J05 45G05 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{X. Cheng}, J. Comput. Appl. Math. 257, 57--64 (2014; Zbl 1294.65112) Full Text: DOI
Antipov, Y. A.; Smirnov, A. V. Subsonic propagation of a crack parallel to the boundary of a half-plane. (English) Zbl 1528.74094 Math. Mech. Solids 18, No. 2, 153-167 (2013). MSC: 74R10 74H10 45F15 30E25 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{A. V. Smirnov}, Math. Mech. Solids 18, No. 2, 153--167 (2013; Zbl 1528.74094) Full Text: DOI
Al-Saif, Nahdh S. M.; Hussain, Eman Ali A point interpolation meshless method for the numerical solution of the singularly perturbed integral and integro-differential equations. (English) Zbl 1284.65188 Int. J. Math. Anal., Ruse 7, No. 13-16, 643-656 (2013). MSC: 65R20 45D05 45G10 45J05 PDFBibTeX XMLCite \textit{N. S. M. Al-Saif} and \textit{E. A. Hussain}, Int. J. Math. Anal., Ruse 7, No. 13--16, 643--656 (2013; Zbl 1284.65188) Full Text: DOI Link Link
Bobodzhanov, A. A.; Safonov, V. F. The method of normal forms for singularly perturbed systems of Fredholm integro-differential equations with rapidly varying kernels. (English) Zbl 1278.45009 Sb. Math. 204, No. 7, 979-1002 (2013); translation from Mat. Sb. 204, No. 7, 47-70 (2013). MSC: 45J05 45M05 45A05 45F05 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Sb. Math. 204, No. 7, 979--1002 (2013; Zbl 1278.45009); translation from Mat. Sb. 204, No. 7, 47--70 (2013) Full Text: DOI
Margetis, Dionisios Erratum: Bose-Einstein condensation beyond mean field: many-body bound state of periodic microstructure. (English) Zbl 1267.81299 Multiscale Model. Simul. 11, No. 1, 410-410 (2013). MSC: 81V45 81Q15 81V70 82C10 76M50 35Q55 45K05 PDFBibTeX XMLCite \textit{D. Margetis}, Multiscale Model. Simul. 11, No. 1, 410--410 (2013; Zbl 1267.81299) Full Text: DOI Link
Kanwal, Ram P. Linear integral equations. Theory and technique. Reprint of the 2nd edition 1997. (English) Zbl 1259.45001 Modern Birkhäuser Classics. New York, NY: Birkhäuser (ISBN 978-1-4614-6011-4/pbk; 978-1-4614-6012-1/ebook). xiii, 318 p. (2013). MSC: 45-01 45A05 45B05 45Exx 44-01 34A25 35C15 35A22 47A53 PDFBibTeX XMLCite \textit{R. P. Kanwal}, Linear integral equations. Theory and technique. Reprint of the 2nd edition 1997. New York, NY: Birkhäuser (2013; Zbl 1259.45001) Full Text: DOI
Kumar, Sunil; Singh, Om P.; Dixit, Sandeep An analytic algorithm for generalized Abel integral equation. (English) Zbl 1238.65132 Appl. Math. Sci., Ruse 5, No. 5-8, 223-232 (2011). MSC: 65R20 45E10 45D05 PDFBibTeX XMLCite \textit{S. Kumar} et al., Appl. Math. Sci., Ruse 5, No. 5--8, 223--232 (2011; Zbl 1238.65132) Full Text: Link
Kumar, Sunil; Singh, Om P.; Dixit, Sandeep Homotopy perturbation method for solving system of generalized Abel’s integral equations. (English) Zbl 1238.65131 Appl. Appl. Math. 6, No. 1, 268-283 (2011). MSC: 65R20 45M10 45E10 45F15 PDFBibTeX XMLCite \textit{S. Kumar} et al., Appl. Appl. Math. 6, No. 1, 268--283 (2011; Zbl 1238.65131) Full Text: Link
Lin, Su-Rong The singular perturbation of boundary value problem for third-order nonlinear vector integro-differential equation and its application. (English) Zbl 1236.45007 Appl. Math. Comput. 218, No. 5, 1746-1751 (2011). Reviewer: K. C. Gupta (Jaipur) MSC: 45J05 47G20 34K10 34K26 45Jxx PDFBibTeX XMLCite \textit{S.-R. Lin}, Appl. Math. Comput. 218, No. 5, 1746--1751 (2011; Zbl 1236.45007) Full Text: DOI
Erjaee, G. H.; Taghvafard, H.; Alnasr, M. Numerical solution of the high thermal loss problem presented by a fractional differential equation. (English) Zbl 1221.65330 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1356-1362 (2011). MSC: 65R20 26A33 45J05 PDFBibTeX XMLCite \textit{G. H. Erjaee} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1356--1362 (2011; Zbl 1221.65330) Full Text: DOI
Wazwaz, Abdul-Majid Linear and nonlinear integral equations. Methods and applications. (English) Zbl 1227.45002 Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-21448-6/hbk; 978-7-04-031694-0; 978-3-642-21449-3/ebook). xviii, 639 p. (2011). Reviewer: Neville Ford (Chester) MSC: 45-01 45A05 45Gxx 45L05 45D05 45B05 45J05 45Exx 45Fxx PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Linear and nonlinear integral equations. Methods and applications. Berlin: Springer; Beijing: Higher Education Press (2011; Zbl 1227.45002)
Sumbatyan, M.; Brigante, M. An efficient representation for kernels in the 2d dynamic displacement discontinuity method for cracked elastic materials. (English) Zbl 1316.74051 ZAMM, Z. Angew. Math. Mech. 91, No. 6, 516-522 (2011). MSC: 74R10 74S15 45E99 74G05 74G10 PDFBibTeX XMLCite \textit{M. Sumbatyan} and \textit{M. Brigante}, ZAMM, Z. Angew. Math. Mech. 91, No. 6, 516--522 (2011; Zbl 1316.74051) Full Text: DOI
Chen, Zhong; Jiang, Wei Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind. (English) Zbl 1221.65328 Appl. Math. Comput. 217, No. 19, 7790-7798 (2011). Reviewer: I. V. Boikov (Penza) MSC: 65R20 45D05 45A05 45G05 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Jiang}, Appl. Math. Comput. 217, No. 19, 7790--7798 (2011; Zbl 1221.65328) Full Text: DOI
Chatelin, Françoise Spectral approximation of linear operators. Reprint of the 1983 original published by Academic Press. (English) Zbl 1214.01004 Classics in Applied Mathematics 65. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-89871-999-4/pbk). xix, 458 p. (2011). MSC: 01A75 65J10 65-02 65F15 65R20 47-01 47A10 47A55 15A18 45B05 45C05 PDFBibTeX XMLCite \textit{F. Chatelin}, Spectral approximation of linear operators. Reprint of the 1983 original published by Academic Press. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2011; Zbl 1214.01004)
Chi, Yichun; Jaimungal, Sebastian; Lin, X. Sheldon An insurance risk model with stochastic volatility. (English) Zbl 1231.91163 Insur. Math. Econ. 46, No. 1, 52-66 (2010). MSC: 91B30 91B70 45J05 60H30 PDFBibTeX XMLCite \textit{Y. Chi} et al., Insur. Math. Econ. 46, No. 1, 52--66 (2010; Zbl 1231.91163) Full Text: DOI
Lin, Juan; Wang, Chuanrong Stability of Cauchy singular integral with its kernel density belonging to \(H^*\) for an open arc. (English) Zbl 1240.45003 Chin. Q. J. Math. 25, No. 2, 220-227 (2010). MSC: 45E05 30E20 45M10 PDFBibTeX XMLCite \textit{J. Lin} and \textit{C. Wang}, Chin. Q. J. Math. 25, No. 2, 220--227 (2010; Zbl 1240.45003)
Lin, Surong Asymptotic expression of the solution of a boundary value problem for second-order nonlinear integro-differential equations. (Chinese. English summary) Zbl 1240.45019 J. Syst. Sci. Math. Sci. 30, No. 3, 358-369 (2010). MSC: 45J05 45G10 45L05 45M05 PDFBibTeX XMLCite \textit{S. Lin}, J. Syst. Sci. Math. Sci. 30, No. 3, 358--369 (2010; Zbl 1240.45019)
Mohsen, Adel; El-Gamel, Mohamed On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations. (English) Zbl 1204.65158 Appl. Math. Comput. 217, No. 7, 3330-3337 (2010). MSC: 65R20 45G05 45D05 45G10 45J05 PDFBibTeX XMLCite \textit{A. Mohsen} and \textit{M. El-Gamel}, Appl. Math. Comput. 217, No. 7, 3330--3337 (2010; Zbl 1204.65158) Full Text: DOI
Biazar, Jafar; Ayati, Zainab; Yaghouti, Mohammad Reza Homotopy perturbation method for homogeneous Smoluchowsk’s equation. (English) Zbl 1197.65220 Numer. Methods Partial Differ. Equations 26, No. 5, 1146-1153 (2010). MSC: 65R20 45K05 45G05 PDFBibTeX XMLCite \textit{J. Biazar} et al., Numer. Methods Partial Differ. Equations 26, No. 5, 1146--1153 (2010; Zbl 1197.65220) Full Text: DOI
Bart, Harm; Dym, Harry; Kaashoek, Rien; Lancaster, Peter; Markus, Alexander; Rodman, Leiba In memoriam Israel Gohberg August 23, 1928-October 12, 2009. (English) Zbl 1191.01021 Linear Algebra Appl. 433, No. 5, 877-892 (2010). MSC: 01A65 01A70 01A74 15-03 45-03 46-03 47-03 65-03 93-03 PDFBibTeX XMLCite \textit{H. Bart} et al., Linear Algebra Appl. 433, No. 5, 877--892 (2010; Zbl 1191.01021) Full Text: DOI
Lin, Su-Rong The singularly perturbed problem of vector integro-differential equations. (English) Zbl 1202.45008 Acta Math. Appl. Sin., Engl. Ser. 26, No. 2, 267-276 (2010). Reviewer: J. Banaś (Rzeszów) MSC: 45J05 45G10 45L05 PDFBibTeX XMLCite \textit{S.-R. Lin}, Acta Math. Appl. Sin., Engl. Ser. 26, No. 2, 267--276 (2010; Zbl 1202.45008) Full Text: DOI
Bonaccorsi, Stefano; Mastrogiacomo, Elisa An analytic approach to stochastic Volterra equations with completely monotone kernels. (English) Zbl 1239.45001 J. Evol. Equ. 9, No. 2, 315-339 (2009). MSC: 45D05 60H20 34K50 60H30 93E20 PDFBibTeX XMLCite \textit{S. Bonaccorsi} and \textit{E. Mastrogiacomo}, J. Evol. Equ. 9, No. 2, 315--339 (2009; Zbl 1239.45001) Full Text: DOI
Lin, Surong Application of the diagonalization method in the Robin boundary value problem for the vector nonlinear integro-differential equations. (Chinese. English summary) Zbl 1212.45012 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 406-415 (2009). MSC: 45J05 45M05 45G15 PDFBibTeX XMLCite \textit{S. Lin}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 406--415 (2009; Zbl 1212.45012)
Bobodzhanov, A. A.; Safonov, V. F. “Splashes” in Fredholm integro-differential equations with rapidly varying kernels. (English. Russian original) Zbl 1177.45009 Math. Notes 85, No. 2, 153-167 (2009); translation from Mat. Zametki 85, No. 2, 163-179 (2009). MSC: 45M05 45L05 45J05 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Math. Notes 85, No. 2, 153--167 (2009; Zbl 1177.45009); translation from Mat. Zametki 85, No. 2, 163--179 (2009) Full Text: DOI
Aktosun, Tuncay; van der Mee, Cornelis A unified approach to Darboux transformations. (English) Zbl 1185.45006 Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45F15 45D05 PDFBibTeX XMLCite \textit{T. Aktosun} and \textit{C. van der Mee}, Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009; Zbl 1185.45006) Full Text: DOI arXiv
He, Danhua; Xu, Liguang Integrodifferential inequality for stability of singularly perturbed impulsive delay integrodifferential equations. (English) Zbl 1176.45011 J. Inequal. Appl. 2009, Article ID 369185, 11 p. (2009). MSC: 45M10 45J05 26D15 PDFBibTeX XMLCite \textit{D. He} and \textit{L. Xu}, J. Inequal. Appl. 2009, Article ID 369185, 11 p. (2009; Zbl 1176.45011) Full Text: DOI EuDML
Bobodzhanov, A. A.; Safonov, V. F. Regularized asymptotics of solutions of systems of Fredholm integro-differential equations with rapidly varying kernels. (English. Russian original) Zbl 1177.45008 Differ. Equ. 45, No. 2, 226-239 (2009); translation from Differ. Uravn. 45, No. 2, 220-233 (2009). Reviewer: Li Xing (Yinchuan) MSC: 45M05 45J05 45L05 PDFBibTeX XMLCite \textit{A. A. Bobodzhanov} and \textit{V. F. Safonov}, Differ. Equ. 45, No. 2, 226--239 (2009; Zbl 1177.45008); translation from Differ. Uravn. 45, No. 2, 220--233 (2009) Full Text: DOI
Lanza de Cristoforis, Massimo A singular domain perturbation problem for the Poisson equation. (English) Zbl 1182.35096 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 955-965 (2009). MSC: 35J25 31B10 45F15 47H30 PDFBibTeX XMLCite \textit{M. Lanza de Cristoforis}, in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 955--965 (2009; Zbl 1182.35096)
Liu, Hong-ai; Shang, Lin; Wang, Chuan-rong The stability of singular integral when the boundary curve of domain of integration perturbs. (Chinese. English summary) Zbl 1170.45301 J. Henan Univ., Nat. Sci. 39, No. 1, 1-5 (2009). MSC: 45M10 PDFBibTeX XMLCite \textit{H.-a. Liu} et al., J. Henan Univ., Nat. Sci. 39, No. 1, 1--5 (2009; Zbl 1170.45301)
Grasselli, Maurizio; Muñoz Rivera, Jaime E.; Squassina, Marco Asymptotic behavior of a thermoviscoelastic plate with memory effects. (English) Zbl 1166.74011 Asymptotic Anal. 63, No. 1-2, 55-84 (2009). MSC: 74H40 74H10 74K20 74F05 74D05 45K05 PDFBibTeX XMLCite \textit{M. Grasselli} et al., Asymptotic Anal. 63, No. 1--2, 55--84 (2009; Zbl 1166.74011) Full Text: DOI arXiv
Dauylbayev, M. K. Asymptotic estimations of solutions of integro-differential equations with small parameter. (Russian. English summary) Zbl 1488.45038 Mat. Zh. 8, No. 4, 48-51 (2008). MSC: 45K05 PDFBibTeX XMLCite \textit{M. K. Dauylbayev}, Mat. Zh. 8, No. 4, 48--51 (2008; Zbl 1488.45038)
Ramos, J. I. Exponential techniques and implicit Runge-Kutta methods for singularly-perturbed Volterra integro-differential equations. (English) Zbl 1163.65100 Neural Parallel Sci. Comput. 16, No. 3, 387-404 (2008). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{J. I. Ramos}, Neural Parallel Sci. Comput. 16, No. 3, 387--404 (2008; Zbl 1163.65100)
Filippychev, D. S. Application of the dual operator method to an equation describing the behavior of a boundary function. (English. Russian original) Zbl 1157.65072 Comput. Math. Model. 19, No. 3, 271-281 (2008); translation from Prikl. Mat. Inf. 26, 49-60 (2007). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{D. S. Filippychev}, Comput. Math. Model. 19, No. 3, 271--281 (2008; Zbl 1157.65072); translation from Prikl. Mat. Inf. 26, 49--60 (2007) Full Text: DOI
Mo, Jia-qi; Chen, Xiu The nonlinear singularly perturbed nonlocal reaction diffusion systems. (English) Zbl 1156.35310 Acta Math. Appl. Sin., Engl. Ser. 24, No. 4, 553-562 (2008). MSC: 35B25 35K57 35K50 45K05 PDFBibTeX XMLCite \textit{J.-q. Mo} and \textit{X. Chen}, Acta Math. Appl. Sin., Engl. Ser. 24, No. 4, 553--562 (2008; Zbl 1156.35310) Full Text: DOI
Wu, Qinkuan Nonlinear boundary value problems for singularly perturbed integral differential equations. (Chinese. English summary) Zbl 1164.45311 J. Lanzhou Univ., Nat. Sci. 43, No. 4, 127-130 (2007). MSC: 45J05 45G10 45M05 26D10 PDFBibTeX XMLCite \textit{Q. Wu}, J. Lanzhou Univ., Nat. Sci. 43, No. 4, 127--130 (2007; Zbl 1164.45311)
Lin, Juan; Wang, Chuanrong Stability of solutions for a class of singular integral equation for an open arc with respect to the perturbation of integral curve. (Chinese. English summary) Zbl 1150.45317 J. Fuzhou Univ., Nat. Sci. 35, No. 5, 649-653 (2007). MSC: 45M10 45E10 PDFBibTeX XMLCite \textit{J. Lin} and \textit{C. Wang}, J. Fuzhou Univ., Nat. Sci. 35, No. 5, 649--653 (2007; Zbl 1150.45317)
Lin, Surong Singular perturbation of boundary value problems for vector second order nonlinear integro-differential equations. (Chinese. English summary) Zbl 1150.45310 Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 6, 1133-1140 (2007). MSC: 45J05 45G15 45L05 PDFBibTeX XMLCite \textit{S. Lin}, Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 6, 1133--1140 (2007; Zbl 1150.45310)
Filippychev, D. S. A boundary function equation and its numerical solution. (English. Russian original) Zbl 1136.65123 Comput. Math. Model. 18, No. 3, 234-244 (2007); translation from Prikl. Mat. Inf. 24, 24-34 (2006). MSC: 65R20 45J05 76X05 82D10 PDFBibTeX XMLCite \textit{D. S. Filippychev}, Comput. Math. Model. 18, No. 3, 234--244 (2007; Zbl 1136.65123); translation from Prikl. Mat. Inf. 24, 24--34 (2006) Full Text: DOI
Malek, Stéphane On singularly perturbed partial integro-differential equations with irregular singularity. (English) Zbl 1135.35088 J. Dyn. Control Syst. 13, No. 3, 419-449 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R10 35B25 35C10 35C20 45K05 PDFBibTeX XMLCite \textit{S. Malek}, J. Dyn. Control Syst. 13, No. 3, 419--449 (2007; Zbl 1135.35088) Full Text: DOI
Khater, A. H.; Shamardan, A. B.; Callebaut, D. K.; Sakran, M. R. A. Numerical solutions of integral and integro-differential equations using Legendre polynomials. (English) Zbl 1131.65111 Numer. Algorithms 46, No. 3, 195-218 (2007). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45J05 45D05 45G05 45M05 45E10 PDFBibTeX XMLCite \textit{A. H. Khater} et al., Numer. Algorithms 46, No. 3, 195--218 (2007; Zbl 1131.65111) Full Text: DOI
Wu, Qinkuan Singular perturbation for system of Volterra type integral differential equations with boundary perturbation. (Chinese. English summary) Zbl 1140.45301 Appl. Math., Ser. A (Chin. Ed.) 22, No. 2, 210-216 (2007). MSC: 45J05 45M05 45G15 PDFBibTeX XMLCite \textit{Q. Wu}, Appl. Math., Ser. A (Chin. Ed.) 22, No. 2, 210--216 (2007; Zbl 1140.45301)
Filippychev, D. S. Numerical solution of the differential equation describing the behavior of the zeroth-order boundary function. (English. Russian original) Zbl 1113.65121 Comput. Math. Model. 18, No. 1, 19-28 (2007); translation from Prikl. Mat. Inf. 23, 24-35 (2006). MSC: 65R20 45K05 76X05 PDFBibTeX XMLCite \textit{D. S. Filippychev}, Comput. Math. Model. 18, No. 1, 19--28 (2007; Zbl 1113.65121); translation from Prikl. Mat. Inf. 23, 24--35 (2006) Full Text: DOI
Tang, Rongrong The nonlinear boundary value problem for a class of integro-differential system. (English) Zbl 1131.45004 Anal. Theory Appl. 22, No. 3, 254-261 (2006). MSC: 45J05 45G10 45M05 PDFBibTeX XMLCite \textit{R. Tang}, Anal. Theory Appl. 22, No. 3, 254--261 (2006; Zbl 1131.45004) Full Text: DOI
Nefedov, N. N.; Nikitin, A. G. Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. (English. Russian original) Zbl 1206.45013 Differ. Equ. 42, No. 5, 739-749 (2006); translation from Differ. Uravn. 42, No. 5, 690-700 (2006). MSC: 45K05 45G10 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{A. G. Nikitin}, Differ. Equ. 42, No. 5, 739--749 (2006; Zbl 1206.45013); translation from Differ. Uravn. 42, No. 5, 690--700 (2006) Full Text: DOI
Jin, Li; Wang, Guocan Singular perturbation of Volterra type integro-differential equation for nonlinear boundary value problems. (Chinese. English summary) Zbl 1112.45003 Basic Sci. J. Text. Univ. 19, No. 3, 241-244 (2006). MSC: 45J05 45G10 45L05 PDFBibTeX XMLCite \textit{L. Jin} and \textit{G. Wang}, Basic Sci. J. Text. Univ. 19, No. 3, 241--244 (2006; Zbl 1112.45003)
Jin, Li Existence and uniqueness of solution for nonlinear boundary problem of Volterra type integrodifferential equation. (Chinese. English summary) Zbl 1107.45004 J. Liaoning Norm. Univ., Nat. Sci. 29, No. 2, 156-159 (2006). MSC: 45J05 45G10 PDFBibTeX XMLCite \textit{L. Jin}, J. Liaoning Norm. Univ., Nat. Sci. 29, No. 2, 156--159 (2006; Zbl 1107.45004)
Lizama, Carlos; Prado, Humberto Singular perturbation for Volterra equations of convolution type. (English) Zbl 1108.45011 Appl. Math. Comput. 181, No. 2, 1624-1634 (2006). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 45N05 45J05 PDFBibTeX XMLCite \textit{C. Lizama} and \textit{H. Prado}, Appl. Math. Comput. 181, No. 2, 1624--1634 (2006; Zbl 1108.45011) Full Text: DOI Link
Amiraliyev, G. M.; Şevgin, Sebaheddin Uniform difference method for singularly perturbed Volterra integro-differential equations. (English) Zbl 1106.65112 Appl. Math. Comput. 179, No. 2, 731-741 (2006). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{G. M. Amiraliyev} and \textit{S. Şevgin}, Appl. Math. Comput. 179, No. 2, 731--741 (2006; Zbl 1106.65112) Full Text: DOI
Shubin, Carol Singularly perturbed integral equations. (English) Zbl 1097.45001 J. Math. Anal. Appl. 313, No. 1, 234-250 (2006). Reviewer: Roland Duduchava (Tbilisi) MSC: 45B05 PDFBibTeX XMLCite \textit{C. Shubin}, J. Math. Anal. Appl. 313, No. 1, 234--250 (2006; Zbl 1097.45001) Full Text: DOI
Bijura, Angelina M. Transcendental smallness in singularly perturbed equations of Volterra type. (English) Zbl 1106.45001 Afr. Diaspora J. Math. 3, No. 2, 63-75 (2005). Reviewer: Dariusz Bugajewski (Poznań) MSC: 45G05 PDFBibTeX XMLCite \textit{A. M. Bijura}, Afr. Diaspora J. Math. 3, No. 2, 63--75 (2005; Zbl 1106.45001)
Janno, J.; von Wolfersdorf, L. A general class of autoconvolution equations of the third kind. (English) Zbl 1094.45002 Z. Anal. Anwend. 24, No. 3, 523-543 (2005). Reviewer: Mouffak Benchohra (Sidi Bel Abbes) MSC: 45G10 PDFBibTeX XMLCite \textit{J. Janno} and \textit{L. von Wolfersdorf}, Z. Anal. Anwend. 24, No. 3, 523--543 (2005; Zbl 1094.45002) Full Text: DOI