Sgibnev, M. S. Generalized Wiener-Hopf equations with directly Riemann integrable inhomogeneous term. (English) Zbl 07798258 J. Math. Sci., New York 271, No. 3, Series A, 400-405 (2023). MSC: 26A42 45E10 60K05 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, J. Math. Sci., New York 271, No. 3, 400--405 (2023; Zbl 07798258) Full Text: DOI
Kafando, Delwendé Abdoul-Kabir; Béré, Frédéric; Konané, Victorien; Nitiéma, Pierre Clovis Extension of the compound Poisson model via the Spearman copula. (English) Zbl 07727212 Far East J. Theor. Stat. 67, No. 2, 147-184 (2023). MSC: 91G05 60K10 62H05 45J05 PDFBibTeX XMLCite \textit{D. A. K. Kafando} et al., Far East J. Theor. Stat. 67, No. 2, 147--184 (2023; Zbl 07727212) Full Text: DOI
Sgibnev, M. S. The matrix renewal equation on the whole line with submultiplicative inhomogeneous term. (English) Zbl 07798305 J. Math. Sci., New York 266, No. 6, Series A, 967-980 (2022). MSC: 45F05 60K05 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, J. Math. Sci., New York 266, No. 6, 967--980 (2022; Zbl 07798305) 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
Dibu, A. S.; Jacob, M. J. On a double barrier hybrid dividend strategy in a compound Poisson risk model with stochastic income. (English) Zbl 1498.91356 Ann. Oper. Res. 315, No. 2, 969-984 (2022). MSC: 91G05 45D05 60K10 PDFBibTeX XMLCite \textit{A. S. Dibu} and \textit{M. J. Jacob}, Ann. Oper. Res. 315, No. 2, 969--984 (2022; Zbl 1498.91356) Full Text: DOI
Akahori, J.; Constantinescu, C.; Imamura, Y.; Pham, H. H. An application of risk theory to mortgage lending. (English) Zbl 1492.91268 Scand. Actuar. J. 2022, No. 5, 447-469 (2022). MSC: 91G05 45K05 PDFBibTeX XMLCite \textit{J. Akahori} et al., Scand. Actuar. J. 2022, No. 5, 447--469 (2022; Zbl 1492.91268) Full Text: DOI
Sgibnev, Mikhail Sergeevich The renewal equation with unbounded inhomogeneous term. (English) Zbl 1484.45005 Sib. Èlektron. Mat. Izv. 19, No. 1, 81-90 (2022). MSC: 45E10 45M05 45J05 60K05 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, Sib. Èlektron. Mat. Izv. 19, No. 1, 81--90 (2022; Zbl 1484.45005) Full Text: DOI
Appleby, John A. D. Mean square characterisation of a stochastic Volterra integrodifferential equation with delay. (English) Zbl 1482.34194 Int. J. Dyn. Syst. Differ. Equ. 11, No. 3-4, 194-226 (2021). MSC: 34K50 45R05 45M05 PDFBibTeX XMLCite \textit{J. A. D. Appleby}, Int. J. Dyn. Syst. Differ. Equ. 11, No. 3--4, 194--226 (2021; Zbl 1482.34194) Full Text: DOI
Maruyama, Toru On a nonlinear integral equation. (English) Zbl 1483.45005 Linear Nonlinear Anal. 7, No. 1, 1-7 (2021). MSC: 45G05 47H10 PDFBibTeX XMLCite \textit{T. Maruyama}, Linear Nonlinear Anal. 7, No. 1, 1--7 (2021; Zbl 1483.45005) Full Text: Link
Sgibnev, Mikhail Sergeyevich On the uniqueness of the solution to the Wiener-Hopf equation with probability kernel. (English) Zbl 1485.45004 Sib. Èlektron. Mat. Izv. 18, No. 2, 1146-1152 (2021). Reviewer: Vladimir V. Kisil (Leeds) MSC: 45E10 45R05 60K05 41A58 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1146--1152 (2021; Zbl 1485.45004) Full Text: DOI
Maximov, Serguei; Cortes-Penagos, Consuelo de J. A long-time asymptotic solution to the g-renewal equation for underlying distributions with nondecreasing hazard functions. (English) Zbl 1455.62194 Math. Methods Oper. Res. 92, No. 2, 311-341 (2020). MSC: 62N05 60K20 45D05 PDFBibTeX XMLCite \textit{S. Maximov} and \textit{C. de J. Cortes-Penagos}, Math. Methods Oper. Res. 92, No. 2, 311--341 (2020; Zbl 1455.62194) Full Text: DOI
Peng, Xuanhua; Su, Wen; Zhang, Zhimin On a perturbed compound Poisson risk model under a periodic threshold-type dividend strategy. (English) Zbl 1449.91107 J. Ind. Manag. Optim. 16, No. 4, 1967-1986 (2020). MSC: 91G05 60K10 60J74 45K05 PDFBibTeX XMLCite \textit{X. Peng} et al., J. Ind. Manag. Optim. 16, No. 4, 1967--1986 (2020; Zbl 1449.91107) Full Text: DOI
Sendova, Kristina P.; Zhang, Ruixi Maximum surplus and \(R_n\) class of distributions with an application to dividends. (English) Zbl 1433.91145 J. Comput. Appl. Math. 369, Article ID 112568, 21 p. (2020). Reviewer: Emilia Di Lorenzo (Napoli) MSC: 91G05 60K10 45K05 PDFBibTeX XMLCite \textit{K. P. Sendova} and \textit{R. Zhang}, J. Comput. Appl. Math. 369, Article ID 112568, 21 p. (2020; Zbl 1433.91145) Full Text: DOI
Clément, Frédérique; Laroche, Béatrice; Robin, Frédérique Analysis and numerical simulation of an inverse problem for a structured cell population dynamics model. (English) Zbl 1501.92108 Math. Biosci. Eng. 16, No. 4, 3018-3046 (2019). MSC: 92D25 92C37 35R30 45B05 PDFBibTeX XMLCite \textit{F. Clément} et al., Math. Biosci. Eng. 16, No. 4, 3018--3046 (2019; Zbl 1501.92108) Full Text: DOI
Abdel-Rehim, Enstar A. From power laws to fractional diffusion processes with and without external forces, the non direct way. (English) Zbl 1436.60074 Fract. Calc. Appl. Anal. 22, No. 1, 60-77 (2019). MSC: 60J60 35L05 45K05 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, Fract. Calc. Appl. Anal. 22, No. 1, 60--77 (2019; Zbl 1436.60074) Full Text: DOI
Pekalp, Mustafa Hilmi; Aydoğdu, Halil An asymptotic solution of the integral equation for the second moment function in geometric processes. (English) Zbl 1432.60081 J. Comput. Appl. Math. 353, 179-190 (2019). MSC: 60K05 44A10 45D05 45M05 PDFBibTeX XMLCite \textit{M. H. Pekalp} and \textit{H. Aydoğdu}, J. Comput. Appl. Math. 353, 179--190 (2019; Zbl 1432.60081) Full Text: DOI Link
Milišić, Vuk; Oelz, Dietmar Space dependent adhesion forces mediated by transient elastic linkages: new convergence and global existence results. (English) Zbl 1406.35437 J. Differ. Equations 265, No. 12, 6049-6082 (2018). MSC: 35Q92 35B40 45D05 35K20 92C17 35K05 35A01 35A02 PDFBibTeX XMLCite \textit{V. Milišić} and \textit{D. Oelz}, J. Differ. Equations 265, No. 12, 6049--6082 (2018; Zbl 1406.35437) Full Text: DOI arXiv
Sgibnev, M. S. Wiener-Hopf equation whose kernel is a probability distribution. (English. Russian original) Zbl 1388.60095 Differ. Equ. 53, No. 9, 1174-1196 (2017); translation from Differ. Uravn. 53, No. 9, 1209-1231 (2017). MSC: 60H05 45A05 60G50 60K05 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, Differ. Equ. 53, No. 9, 1174--1196 (2017; Zbl 1388.60095); translation from Differ. Uravn. 53, No. 9, 1209--1231 (2017) Full Text: DOI
Jiang, Wuyuan; Yang, Zhaojun The maximum surplus before ruin for dependent risk models through Farlie-Gumbel-Morgenstern copula. (English) Zbl 1401.91149 Scand. Actuar. J. 2016, No. 5, 385-397 (2016). MSC: 91B30 62E15 62P05 60K05 45J05 44A10 PDFBibTeX XMLCite \textit{W. Jiang} and \textit{Z. Yang}, Scand. Actuar. J. 2016, No. 5, 385--397 (2016; Zbl 1401.91149) Full Text: DOI
Han, Shuxin; Zhang, Xingkuan The expected discounted penalty function of thinning risk models with barrier dividend. (Chinese. English summary) Zbl 1374.91039 Acta Sci. Nat. Univ. Nankaiensis 49, No. 5, 92-101 (2016). MSC: 91B30 60K10 45J05 PDFBibTeX XMLCite \textit{S. Han} and \textit{X. Zhang}, Acta Sci. Nat. Univ. Nankaiensis 49, No. 5, 92--101 (2016; Zbl 1374.91039)
Milišić, Vuk; Oelz, Dietmar Tear-off versus global existence for a structured model of adhesion mediated by transient elastic linkages. (English) Zbl 1346.35018 Commun. Math. Sci. 14, No. 5, 1353-1372 (2016). MSC: 35B40 35Q92 45D05 PDFBibTeX XMLCite \textit{V. Milišić} and \textit{D. Oelz}, Commun. Math. Sci. 14, No. 5, 1353--1372 (2016; Zbl 1346.35018) Full Text: DOI arXiv
Goswami, Anindya; Patel, Jeeten; Shevgaonkar, Poorva A system of non-local parabolic PDE and application to option pricing. (English) Zbl 1347.60084 Stochastic Anal. Appl. 34, No. 5, 893-905 (2016). MSC: 60H30 60H10 60K15 35K51 60G40 91G80 91G20 91B30 45D05 PDFBibTeX XMLCite \textit{A. Goswami} et al., Stochastic Anal. Appl. 34, No. 5, 893--905 (2016; Zbl 1347.60084) Full Text: DOI arXiv
Kakumani, Bhargav Kumar; Tumuluri, Suman Kumar Extinction and blow-up phenomena in a non-linear gender structured population model. (English) Zbl 1395.92128 Nonlinear Anal., Real World Appl. 28, 290-299 (2016). MSC: 92D25 45K05 60J85 PDFBibTeX XMLCite \textit{B. K. Kakumani} and \textit{S. K. Tumuluri}, Nonlinear Anal., Real World Appl. 28, 290--299 (2016; Zbl 1395.92128) Full Text: DOI
Zhou, Zhongbao; Xiao, Helu; Deng, Yingchun Markov-dependent risk model with multi-layer dividend strategy. (English) Zbl 1338.91082 Appl. Math. Comput. 252, 273-286 (2015). MSC: 91B30 45J05 60K10 62M05 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Appl. Math. Comput. 252, 273--286 (2015; Zbl 1338.91082) Full Text: DOI
Fodra, Pietro; Pham, Huyên High frequency trading and asymptotics for small risk aversion in a Markov renewal model. (English) Zbl 1336.60172 SIAM J. Financ. Math. 6, 656-684 (2015). MSC: 60K15 60J75 91G80 93E20 49J55 45J05 PDFBibTeX XMLCite \textit{P. Fodra} and \textit{H. Pham}, SIAM J. Financ. Math. 6, 656--684 (2015; Zbl 1336.60172) Full Text: DOI arXiv
Milišić, Vuk; Oelz, Dietmar On a structured model for load-dependent reaction kinetics of transient elastic linkages mediating nonlinear friction. (English) Zbl 1322.35141 SIAM J. Math. Anal. 47, No. 3, 2104-2121 (2015). Reviewer: Rodica Luca (Iaşi) MSC: 35Q92 35B40 45D05 35B45 PDFBibTeX XMLCite \textit{V. Milišić} and \textit{D. Oelz}, SIAM J. Math. Anal. 47, No. 3, 2104--2121 (2015; Zbl 1322.35141) Full Text: DOI Link
Backhausz, Ágnes; Móri, Tamás F. Asymptotics of a renewal-like recursion and an integral equation. (English) Zbl 1374.45020 Appl. Anal. Discrete Math. 8, No. 2, 200-223 (2014). Reviewer: Marko Nedeljkov (Novi Sad) MSC: 45M05 45D05 34E10 60K05 PDFBibTeX XMLCite \textit{Á. Backhausz} and \textit{T. F. Móri}, Appl. Anal. Discrete Math. 8, No. 2, 200--223 (2014; Zbl 1374.45020) Full Text: DOI arXiv
Orbán-Mihálykó, Éva; Mihálykó, Csaba Application of advanced integrodifferential equations in insurance mathematics and process engineering. (English) Zbl 1315.91033 Hartung, Ferenc (ed.) et al., Recent advances in delay differential and difference equations. Research papers based on the presentations at the international conference on delay differential and difference equations and applications, Balatonfüred, Hungary, July 15–19, 2013. Cham: Springer (ISBN 978-3-319-08250-9/hbk). Springer Proceedings in Mathematics & Statistics 94, 181-195 (2014). MSC: 91B30 45J05 60K05 PDFBibTeX XMLCite \textit{É. Orbán-Mihálykó} and \textit{C. Mihálykó}, Springer Proc. Math. Stat. 94, 181--195 (2014; Zbl 1315.91033) Full Text: DOI
Yu, Andrew Junfang; Dong, Yuanyuan A numerical solution for a two-stage production and inventory system with random demand arrivals. (English) Zbl 1307.90019 Comput. Oper. Res. 44, 13-21 (2014). MSC: 90B05 90B30 45D05 65R20 90B06 90C90 PDFBibTeX XMLCite \textit{A. J. Yu} and \textit{Y. Dong}, Comput. Oper. Res. 44, 13--21 (2014; Zbl 1307.90019) Full Text: DOI
Alarcón, Tomás; Getto, Philipp; Nakata, Yukihiko Stability analysis of a renewal equation for cell population dynamics with quiescence. (English) Zbl 1320.37040 SIAM J. Appl. Math. 74, No. 4, 1266-1297 (2014). Reviewer: Carlo Laing (Auckland) MSC: 37N25 45D05 45G15 45M10 92C37 PDFBibTeX XMLCite \textit{T. Alarcón} et al., SIAM J. Appl. Math. 74, No. 4, 1266--1297 (2014; Zbl 1320.37040) Full Text: DOI Link
Pichugina, A. N.; Pichugin, B. Yu. Asymptotic properties of solutions of nonlinear Sharpe-Lotka model in the most general assumptions. (Russian. English summary) Zbl 1330.45007 Sib. Èlektron. Mat. Izv. 10, 227-240 (2013). MSC: 45G15 92D25 PDFBibTeX XMLCite \textit{A. N. Pichugina} and \textit{B. Yu. Pichugin}, Sib. Èlektron. Mat. Izv. 10, 227--240 (2013; Zbl 1330.45007) Full Text: DOI
Pacheco González, Carlos G. Ruin probabilities and the ruin time distribution. (English) Zbl 1311.60099 Bol. Soc. Mat. Mex., III. Ser. 19, No. 1, 101-109 (2013). Reviewer: Hanspeter Schmidli (Köln) MSC: 60K05 91B30 45D05 65R20 PDFBibTeX XMLCite \textit{C. G. Pacheco González}, Bol. Soc. Mat. Mex., III. Ser. 19, No. 1, 101--109 (2013; Zbl 1311.60099)
Huang, Kai; Mi, Jie Numerical methods for renewal equation. (English) Zbl 1267.65204 Pac. J. Appl. Math. 4, No. 3, 165-182 (2012). Reviewer: Abass Sagna (Evry) MSC: 65R20 60K05 65C50 45R05 60H20 PDFBibTeX XMLCite \textit{K. Huang} and \textit{J. Mi}, Pac. J. Appl. Math. 4, No. 3, 165--182 (2012; Zbl 1267.65204)
Annunziato, Mario On the action of a semi-Markov process on a system of differential equations. (English) Zbl 1257.82083 Math. Model. Anal. 17, No. 5, 650-672 (2012). MSC: 82C31 45D05 60K15 PDFBibTeX XMLCite \textit{M. Annunziato}, Math. Model. Anal. 17, No. 5, 650--672 (2012; Zbl 1257.82083) Full Text: DOI
De Hoog, F. R.; Anderssen, R. S. Kernel perturbations for a class of second-kind convolution Volterra equations with non-negative kernels. (English) Zbl 1250.45001 Appl. Math. Lett. 25, No. 9, 1222-1225 (2012). MSC: 45D05 91B30 60K05 PDFBibTeX XMLCite \textit{F. R. De Hoog} and \textit{R. S. Anderssen}, Appl. Math. Lett. 25, No. 9, 1222--1225 (2012; Zbl 1250.45001) Full Text: DOI
Milišić, Vuk; Oelz, Dietmar On the asymptotic regime of a model for friction mediated by transient elastic linkages. (English. French summary) Zbl 1227.92012 J. Math. Pures Appl. (9) 96, No. 5, 484-501 (2011). MSC: 92C17 92C40 45D05 60K10 35Q92 35B40 PDFBibTeX XMLCite \textit{V. Milišić} and \textit{D. Oelz}, J. Math. Pures Appl. (9) 96, No. 5, 484--501 (2011; Zbl 1227.92012) Full Text: DOI
Sgibnev, M. S. The uniqueness of a solution to the renewal type system of integral equations on the line. (English. Russian original) Zbl 1253.45004 Sib. Math. J. 51, No. 1, 168-173 (2010); translation from Sib. Mat. Zh. 51, No. 1, 204-211 (2010). MSC: 45F15 45E10 PDFBibTeX XMLCite \textit{M. S. Sgibnev}, Sib. Math. J. 51, No. 1, 168--173 (2010; Zbl 1253.45004); translation from Sib. Mat. Zh. 51, No. 1, 204--211 (2010) Full Text: DOI
De Roos, A. M.; Diekmann, O.; Getto, P.; Kirkilionis, M. A. Numerical equilibrium analysis for structured consumer resource models. (English) Zbl 1185.92088 Bull. Math. Biol. 72, No. 2, 259-297 (2010); erratum ibid. 78, No. 2, 350-351 (2016). MSC: 92D40 34C60 65L99 45J99 34D20 PDFBibTeX XMLCite \textit{A. M. De Roos} et al., Bull. Math. Biol. 72, No. 2, 259--297 (2010; Zbl 1185.92088) Full Text: DOI
Albeverio, S.; Koroliuk, V. S.; Samoilenko, I. V. Asymptotic expansion of semi-Markov random evolutions. (English) Zbl 1179.60058 Stochastics 81, No. 5, 477-502 (2009). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K15 45E99 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Stochastics 81, No. 5, 477--502 (2009; Zbl 1179.60058) Full Text: DOI arXiv
Zhang, Zhimin; Li, Shuanming; Yang, Hu The Gerber-Shiu discounted penalty functions for a risk model with two classes of claims. (English) Zbl 1232.91356 J. Comput. Appl. Math. 230, No. 2, 643-655 (2009). MSC: 91B30 60K10 45J05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Comput. Appl. Math. 230, No. 2, 643--655 (2009; Zbl 1232.91356) Full Text: DOI
Reynolds, David W.; Appleby, John A. D.; Győri, István On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity. (English) Zbl 1164.45001 Note Mat. 27, No. 2, 215-228 (2007). Reviewer: Gustaf Gripenberg (Hut) MSC: 45D05 74D05 45M05 PDFBibTeX XMLCite \textit{D. W. Reynolds} et al., Note Mat. 27, No. 2, 215--228 (2007; Zbl 1164.45001)
Chernecky, Vasily Exact non-ruin probabilities in infinite time. (English) Zbl 1141.60053 Theory Stoch. Process. 12, No. 28, Part 3-4, 20-25 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60K10 45R05 60K05 PDFBibTeX XMLCite \textit{V. Chernecky}, Theory Stoch. Process. 12(28), No. 3--4, 20--25 (2006; Zbl 1141.60053)
Tchuenche, Jean M. The effects of migration on the transmission dynamics of sickle cell anaemia. (English) Zbl 1167.92328 Mediterr. J. Math. 2, No. 3, 357-365 (2005). MSC: 92C60 92D25 45M99 PDFBibTeX XMLCite \textit{J. M. Tchuenche}, Mediterr. J. Math. 2, No. 3, 357--365 (2005; Zbl 1167.92328) Full Text: DOI
Appleby, John A. D.; Reynolds, David W. On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations. (English) Zbl 1088.45005 J. Integral Equations Appl. 16, No. 3, 221-240 (2004). Reviewer: Vassil Angelov (Sofia) MSC: 45J05 60K05 45M10 PDFBibTeX XMLCite \textit{J. A. D. Appleby} and \textit{D. W. Reynolds}, J. Integral Equations Appl. 16, No. 3, 221--240 (2004; Zbl 1088.45005) Full Text: DOI
Appleby, John A. D.; Reynolds, David W. Corrigendum: Subexponential solutions of linear integro-differential equations and transient renewal equations. (English) Zbl 1047.45003 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 6, 1521 (2003). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 45J05 45M10 45M05 34K25 60K05 PDFBibTeX XMLCite \textit{J. A. D. Appleby} and \textit{D. W. Reynolds}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 6, 1521 (2003; Zbl 1047.45003)
Engibaryan, N. B. Conservative systems of integral convolution equations on the half-line and the whole line. (English. Russian original) Zbl 1062.45002 Sb. Math. 193, No. 6, 847-867 (2002); translation from Mat. Sb. 193, No. 6, 61-82 (2002). MSC: 45F15 60K05 47B35 47G10 PDFBibTeX XMLCite \textit{N. B. Engibaryan}, Sb. Math. 193, No. 6, 847--867 (2002; Zbl 1062.45002); translation from Mat. Sb. 193, No. 6, 61--82 (2002) Full Text: DOI
Appleby, John A. D.; Reynolds, David W. Subexponential solutions of linear integro-differential equations and transient renewal equations. (English) Zbl 1009.45007 Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 3, 521-543 (2002). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 45J05 45M05 45M10 PDFBibTeX XMLCite \textit{J. A. D. Appleby} and \textit{D. W. Reynolds}, Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 3, 521--543 (2002; Zbl 1009.45007) Full Text: DOI
Janssen, Jacques; Manca, Raimondo Numerical solution of non-homogeneous semi-Markov processes in transient case. (English) Zbl 0991.60082 Methodol. Comput. Appl. Probab. 3, No. 3, 271-293 (2001). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 60K15 65R20 45A05 PDFBibTeX XMLCite \textit{J. Janssen} and \textit{R. Manca}, Methodol. Comput. Appl. Probab. 3, No. 3, 271--293 (2001; Zbl 0991.60082) Full Text: DOI
Yengibarian, Norair B. Renewal equation on the whole line. (English) Zbl 0997.60096 Stochastic Processes Appl. 85, No. 2, 237-247 (2000). Reviewer: Petr Lachout (Praha) MSC: 60K05 34A12 45D05 PDFBibTeX XMLCite \textit{N. B. Yengibarian}, Stochastic Processes Appl. 85, No. 2, 237--247 (2000; Zbl 0997.60096) Full Text: DOI
Schwabik, Štefan The abstract renewal equation. (English) Zbl 0968.45006 Electron. J. Qual. Theory Differ. Equ. 2000, Suppl., 12 p. (2000). MSC: 45N05 92D25 PDFBibTeX XMLCite \textit{Š. Schwabik}, Electron. J. Qual. Theory Differ. Equ. 2000, 12 p. (2000; Zbl 0968.45006) Full Text: EuDML EMIS
Baumann, G.; Südland, N.; Nonnenmacher, T. F. Anomalous relaxation and diffusion processes in complex systems. (English) Zbl 0972.82080 Transp. Theory Stat. Phys. 29, No. 1-2, 157-171 (2000). MSC: 82C70 45K05 60K20 26A33 PDFBibTeX XMLCite \textit{G. Baumann} et al., Transp. Theory Stat. Phys. 29, No. 1--2, 157--171 (2000; Zbl 0972.82080) Full Text: DOI
Engibaryan, N. B. Renewal equations on the semi-axis. (English. Russian original) Zbl 0937.60083 Izv. Math. 63, No. 1, 57-71 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 1, 61-76 (1999). MSC: 60K05 45D05 45E10 47B35 47A68 45M05 PDFBibTeX XMLCite \textit{N. B. Engibaryan}, Izv. Math. 63, No. 1, 57--71 (1999; Zbl 0937.60083); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 1, 61--76 (1999) Full Text: DOI
Derbenev, V. A.; Tsalyuk, Z. B. Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments. (English. Russian original) Zbl 0914.45004 Math. Notes 62, No. 1, 74-79 (1997); translation from Mat. Zametki 62, No. 1, 88-94 (1997). MSC: 45M05 45D05 45J05 PDFBibTeX XMLCite \textit{V. A. Derbenev} and \textit{Z. B. Tsalyuk}, Math. Notes 62, No. 1, 74--79 (1997; Zbl 0914.45004); translation from Mat. Zametki 62, No. 1, 88--94 (1997) Full Text: DOI
Nazaryan, H. R. On renewal equation on the whole axis. (English. Russian original) Zbl 0912.45002 J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 2, 68-76 (1997); translation from Izv. Akad. Nauk Armen., Mat. 32, No. 2, 77-85 (1997). Reviewer: R.Duduchava (Tbilisi) MSC: 45E10 PDFBibTeX XMLCite \textit{H. R. Nazaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 2, 68--76 (1997; Zbl 0912.45002); translation from Izv. Akad. Nauk Armen., Mat. 32, No. 2, 77--85 (1997)
Nazaryan, H. R. On renewal equation with completely monotone kernel. (English. Russian original) Zbl 0894.45004 J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 1, 44-55 (1997); translation from Izv. Nats. Akad. Nauk Armen., Mat. 32, No. 1, 49-59 (1997). Reviewer: G.Gripenberg (Helsinki) MSC: 45D05 PDFBibTeX XMLCite \textit{H. R. Nazaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 1, 44--55 (1997; Zbl 0894.45004); translation from Izv. Nats. Akad. Nauk Armen., Mat. 32, No. 1, 49--59 (1997)
Gevorkyan, G. G.; Engibaryan, N. B. New theorems for the renewal integral equation. (English. Russian original) Zbl 0894.45003 J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 1, 2-16 (1997); translation from Izv. Nats. Akad. Nauk Armen., Mat. 32, No. 1, 5-20 (1997). Reviewer: G.Gripenberg (Helsinki) MSC: 45D05 45M05 PDFBibTeX XMLCite \textit{G. G. Gevorkyan} and \textit{N. B. Engibaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 32, No. 1, 2--16 (1997; Zbl 0894.45003); translation from Izv. Nats. Akad. Nauk Armen., Mat. 32, No. 1, 5--20 (1997)
Grigoryan, G. A. Solvability of a class of Wiener-Hopf integral equations. (English. Russian original) Zbl 0877.45003 J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 2, 21-32 (1996); translation from Izv. Nats. Akad. Nauk Armen., Mat. 31, No. 2, 27-39 (1996). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 45E10 PDFBibTeX XMLCite \textit{G. A. Grigoryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 2, 21--32 (1996; Zbl 0877.45003); translation from Izv. Nats. Akad. Nauk Armen., Mat. 31, No. 2, 27--39 (1996)
Deligonul, Seyda; Bilgen, Semih Some applications involving solution of the Volterra integral equations of the second kind. (English) Zbl 0878.65119 Ind. Math. 46, No. 1, 47-54 (1996). Reviewer: L.Hącia (Poznań) MSC: 65R20 45D05 78A45 60K05 PDFBibTeX XMLCite \textit{S. Deligonul} and \textit{S. Bilgen}, Ind. Math. 46, No. 1, 47--54 (1996; Zbl 0878.65119)
Chen, Pei Li; Brenner, David J.; Sachs, Rainer K. Ionizing radiation damage to cells: Effects of cell cycle redistribution. (English) Zbl 0820.92012 Math. Biosci. 126, No. 2, 147-170 (1995). MSC: 92C50 35Q92 45D05 PDFBibTeX XMLCite \textit{P. L. Chen} et al., Math. Biosci. 126, No. 2, 147--170 (1995; Zbl 0820.92012) Full Text: DOI
Jensen, Gerd The calculus of Stieltjes-Schärf integrals. II. (English) Zbl 0785.28008 Bl., Dtsch. Ges. Versicherungsmath. 21, No. 2, 175-195 (1993). Reviewer: D.Plachky (Münster) MSC: 28B05 45D05 PDFBibTeX XMLCite \textit{G. Jensen}, Bl., Dtsch. Ges. Versicherungsmath. 21, No. 2, 175--195 (1993; Zbl 0785.28008) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Thieme, Horst R. Perturbing semigroups by solving Stieltjes renewal equations. (English) Zbl 0770.47012 Differ. Integral Equ. 6, No. 1, 155-181 (1993). Reviewer: A.V.Balakrishnan (Los Angeles) MSC: 47D06 45N05 92D25 PDFBibTeX XMLCite \textit{O. Diekmann} et al., Differ. Integral Equ. 6, No. 1, 155--181 (1993; Zbl 0770.47012)
Traple, Janusz Positive solutions of a renewal equation. (English) Zbl 0766.45002 Ann. Pol. Math. 57, No. 1, 91-97 (1992). Reviewer: S.-O.Londen (Espoo) MSC: 45G05 45M20 92D25 PDFBibTeX XMLCite \textit{J. Traple}, Ann. Pol. Math. 57, No. 1, 91--97 (1992; Zbl 0766.45002) Full Text: DOI
Inaba, Hisashi Strong ergodicity for perturbed dual semigroups and application to age- dependent population dynamics. (English) Zbl 0761.92028 J. Math. Anal. Appl. 165, No. 1, 102-132 (1992). Reviewer: S.Totaro (Firenze) MSC: 92D25 47D06 93B05 45K05 PDFBibTeX XMLCite \textit{H. Inaba}, J. Math. Anal. Appl. 165, No. 1, 102--132 (1992; Zbl 0761.92028) Full Text: DOI
Jarczyk, Witold Convexity properties of nonnegative solutions of a convolution equation. (English) Zbl 0786.39007 Grazer Math. Ber. 316, 71-92 (1992). Reviewer: B.Crstici (Timişoara) MSC: 39B52 45E10 45M20 PDFBibTeX XMLCite \textit{W. Jarczyk}, Grazer Math. Ber. 316, 71--92 (1992; Zbl 0786.39007)
Klimov, G. P. Homogeneous renewal equation. (English) Zbl 0751.60083 Appl. Math. Lett. 4, No. 6, 95-97 (1991). Reviewer: L.Mutafchiev (Sofia) MSC: 60K05 45E99 PDFBibTeX XMLCite \textit{G. P. Klimov}, Appl. Math. Lett. 4, No. 6, 95--97 (1991; Zbl 0751.60083) Full Text: DOI
Engibaryan, N. B.; Pogosyan, A. A. A class of integral renewal equations. (English. Russian original) Zbl 0725.45002 Math. Notes 47, No. 6, 540-546 (1990); translation from Mat. Zametki 47, No. 6, 23-30 (1990). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 45D05 PDFBibTeX XMLCite \textit{N. B. Engibaryan} and \textit{A. A. Pogosyan}, Math. Notes 47, No. 6, 540--546 (1990; Zbl 0725.45002); translation from Mat. Zametki 47, No. 6, 23--30 (1990) Full Text: DOI
Xie, Min On the solution of renewal-type integral equations. (English) Zbl 0727.65121 Commun. Stat., Simulation Comput. 18, No. 1, 281-293 (1989). MSC: 65R20 65C99 45D05 60K05 PDFBibTeX XMLCite \textit{M. Xie}, Commun. Stat., Simulation Comput. 18, No. 1, 281--293 (1989; Zbl 0727.65121) Full Text: DOI
Shpak, V. D. Unbiased estimates for the solution of a linear integral equation of the second kind and their application to computation of reliability indices of semi-Markov systems. (Russian) Zbl 0713.62098 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 10, 81-84 (1989). Reviewer: M.Stepanova MSC: 62N05 60K20 60K15 45A05 PDFBibTeX XMLCite \textit{V. D. Shpak}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 10, 81--84 (1989; Zbl 0713.62098)
Tsalyuk, Z. B. Asymptotic bounds of solutions of a renewal equation. (English. Russian original) Zbl 0684.45001 Differ. Equations 25, No. 2, 239-243 (1989); translation from Differ. Uravn. 25, No. 2, 320-325 (1989). MSC: 45D05 45M05 PDFBibTeX XMLCite \textit{Z. B. Tsalyuk}, Differ. Equations 25, No. 2, 239--243 (1989; Zbl 0684.45001); translation from Differ. Uravn. 25, No. 2, 320--325 (1989)
Tsalyuk, Z. B. Asymptotic estimates of solutions of a renewal equation. (Russian) Zbl 0666.45001 Differ. Uravn. 25, No. 2, 320-325 (1989). Reviewer: Yang Enhao MSC: 45D05 45M05 PDFBibTeX XMLCite \textit{Z. B. Tsalyuk}, Differ. Uravn. 25, No. 2, 320--325 (1989; Zbl 0666.45001)
Bilgen, Semih; Deligönül, Z. Şeyda Weibull renewal equation solution. (English) Zbl 0654.65099 Computing 39, 71-76 (1987). MSC: 65C99 65R20 45D05 60K15 PDFBibTeX XMLCite \textit{S. Bilgen} and \textit{Z. Ş. Deligönül}, Computing 39, 71--76 (1987; Zbl 0654.65099) Full Text: DOI
Sinestrari, Eugenio; Webb, G. F. Nonlinear hyperbolic systems with nonlocal boundary conditions. (English) Zbl 0653.92014 J. Math. Anal. Appl. 121, 449-464 (1987). Reviewer: Ch.-Y.Chan MSC: 92D25 35L60 45G10 35J60 35L45 35L50 PDFBibTeX XMLCite \textit{E. Sinestrari} and \textit{G. F. Webb}, J. Math. Anal. Appl. 121, 449--464 (1987; Zbl 0653.92014) Full Text: DOI
Ramachandran, B. On the equation \(f(x)=\int ^{\infty}_{-\infty}f(x+y)d\mu (y)\). (English) Zbl 0645.39003 Sankhyā, Ser. A 49, No. 2, 195-198 (1987). Reviewer: W.Sander MSC: 39B99 45G10 60K05 28A05 62E10 PDFBibTeX XMLCite \textit{B. Ramachandran}, Sankhyā, Ser. A 49, No. 2, 195--198 (1987; Zbl 0645.39003)
Tuljapurkar, Shripad Cycles in nonlinear age-structured models. I. Renewal equations. (English) Zbl 0629.92016 Theor. Popul. Biol. 32, 26-41 (1987). Reviewer: G.Gripenberg MSC: 92D25 45D05 45M99 PDFBibTeX XMLCite \textit{S. Tuljapurkar}, Theor. Popul. Biol. 32, 26--41 (1987; Zbl 0629.92016) Full Text: DOI
Metz, J. A. J. (ed.); Diekmann, O. (ed.) [Voorn, W. J.; Koch, A. L.; Goudriaan, J.; Thieme, H. R.; Gourney, W. S. C.; Nisbet, R. M.; Blythe, S. P.] The dynamics of physiologically structured populations. (English) Zbl 0614.92014 Lecture Notes in Biomathematics, 68. Berlin etc.: Springer-Verlag. XII, 511 p. DM 90.00 (1986). Reviewer: M.Kimmel MSC: 92D25 92-02 35B40 47D03 45A05 PDFBibTeX XML
Gyllenberg, Mats The size and scar distributions of the yeast Saccharomyces cerevisiae. (English) Zbl 0593.92016 J. Math. Biol. 24, 81-101 (1986). MSC: 92D25 35L45 92Cxx 45E10 45E99 35Q99 PDFBibTeX XMLCite \textit{M. Gyllenberg}, J. Math. Biol. 24, 81--101 (1986; Zbl 0593.92016) Full Text: DOI
Deligönül, Z. Şeyda An approximate solution of the integral equation of renewal theory. (English) Zbl 0591.60085 J. Appl. Probab. 22, 926-931 (1985). Reviewer: A.M.Mathai MSC: 60K05 45L05 PDFBibTeX XMLCite \textit{Z. Ş. Deligönül}, J. Appl. Probab. 22, 926--931 (1985; Zbl 0591.60085) Full Text: DOI
Zinterhof, Peter The distribution of costs in Markov renewal processes (theoretical and numerical aspects). (English) Zbl 0579.60090 Methods Oper. Res. 55, 405-410 (1985). MSC: 60K05 45D05 65R20 11K99 PDFBibTeX XMLCite \textit{P. Zinterhof}, Methods Oper. Res. 55, 405--410 (1985; Zbl 0579.60090)
Bilgen, Semih; Deligönül, Z. Seyda A solution method for the Volterra equation of renewal theory. (Turkish. English summary) Zbl 0598.65095 METU Stud. Dev. 11, 369-390 (1984). MSC: 65R20 65C99 60K05 45D05 PDFBibTeX XMLCite \textit{S. Bilgen} and \textit{Z. S. Deligönül}, METU Stud. Dev. 11, 369--390 (1984; Zbl 0598.65095)
Ramachandran, B.; Prakasa Rao, B. L. S. On the equation \(f(x)=\int ^{\infty}_{-\infty}f(x+y)d\mu (y)\). (English) Zbl 0569.39002 Sankhyā, Ser. A 46, 326-338 (1984). Reviewer: V.C.Boffi MSC: 39B99 45E10 60K05 62E10 PDFBibTeX XMLCite \textit{B. Ramachandran} and \textit{B. L. S. Prakasa Rao}, Sankhyā, Ser. A 46, 326--338 (1984; Zbl 0569.39002)
Fenyö, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 4. Lizenzausg. (German) Zbl 0534.45004 Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe, Bd. 77. Basel-Boston-Stuttgart: Birkhäuser Verlag. 708 S. DM 138.00 (1984). Reviewer: J.Weidmann MSC: 45-02 45L05 65R20 34A25 34B27 35C15 31A10 74S30 76Bxx 78A25 82C70 60K05 45A05 45B05 45C05 45D05 45Exx 45Fxx 45P05 74K10 74K20 74K15 PDFBibTeX XML
Fenyö, S.; Stolle, H. W. Theorie und Praxis der linearen Integralgleichungen. 4. (English) Zbl 0534.45003 Berlin: VEB Deutscher Verlag der Wissenschaften. 708 S. (1984). MSC: 45-02 45L05 65R20 34A25 34B27 35C15 31A10 74S30 76Bxx 78A25 82C70 60K05 45A05 45B05 45C05 45D05 45Exx 45Fxx 45P05 74K10 74K20 74K15 PDFBibTeX XML
Sinestrari, Eugenio Local and global stability for the solutions of a nonlinear renewal equation. (English) Zbl 0522.92023 Comput. Math. Appl. 9, 353-359 (1983). MSC: 92D40 35B35 45K05 92C05 PDFBibTeX XMLCite \textit{E. Sinestrari}, Comput. Math. Appl. 9, 353--359 (1983; Zbl 0522.92023) Full Text: DOI
Marcati, Pierangelo Some considerations on the mathematical approach to nonlinear age dependent population dynamics. (English) Zbl 0522.92016 Comput. Math. Appl. 9, 361-370 (1983). MSC: 92D25 92D40 45K05 35L40 35L99 PDFBibTeX XMLCite \textit{P. Marcati}, Comput. Math. Appl. 9, 361--370 (1983; Zbl 0522.92016) Full Text: DOI
Marcati, Pierangelo Asymptotic behavior of the renewal equation arising in the Gurtin population model. (English) Zbl 0512.92013 Nonlinear phenomena in mathematical sciences, Proc. int. Conf., Arlington/Tex. 1980, 655-662 (1982). MSC: 92D25 45A05 47D03 47A70 44A10 PDFBibTeX XML
Marcati, Pierangelo Asymptotic behavior in age-dependent population dynamics with hereditary renewal law. (English) Zbl 0484.92017 SIAM J. Math. Anal. 12, 904-916 (1981). MSC: 92D25 35R20 45E10 92D40 44A10 35R99 47D03 PDFBibTeX XMLCite \textit{P. Marcati}, SIAM J. Math. Anal. 12, 904--916 (1981; Zbl 0484.92017) Full Text: DOI
Meyer, H. Integralgleichungen in Entscheidungsnetzwerken. (German) Zbl 0438.90098 Methods Oper. Res. 36, 235-240 (1980). MSC: 90C35 65S05 45E99 90B35 PDFBibTeX XMLCite \textit{H. Meyer}, Methods Oper. Res. 36, 235--240 (1980; Zbl 0438.90098)
Diekmann, O. Integral equations and population dynamics. (English) Zbl 0432.92020 Numerical treatment of integral equations, Colloq., Amsterdam 1978-79, MC Syllabus 41, 115-149 (1979). MSC: 92D25 92D10 92-02 45-01 65R20 45J05 PDFBibTeX XML
Rorres, Chris Local stability of a population with density-dependent fertility. (English) Zbl 0426.92014 Theor. Popul. Biol. 16, 283-300 (1979). MSC: 92D25 45G10 93D05 PDFBibTeX XMLCite \textit{C. Rorres}, Theor. Popul. Biol. 16, 283--300 (1979; Zbl 0426.92014) Full Text: DOI
Marcati, Pierangelo; Serafini, Renato Asymptotic behaviour in age dependent population dynamics with spatial spread. (English) Zbl 0414.92021 Boll. Unione Mat. Ital., V. Ser., B 16, 734-753 (1979). MSC: 92D25 45D05 44A10 47D03 46B99 45N05 PDFBibTeX XMLCite \textit{P. Marcati} and \textit{R. Serafini}, Boll. Unione Mat. Ital., V. Ser., B 16, 734--753 (1979; Zbl 0414.92021)
Tsalyuk, Z. B. On the asymptotic behavior of the solutions of the renewal equation. (Über das asymptotische Verhalten der Lösungen der Erneuerungsgleichung.) (Russian) Zbl 0198.15001 Differ. Uravn. 6, 1112-1114 (1970). Reviewer: K. Deimling MSC: 45G15 45M05 PDFBibTeX XMLCite \textit{Z. B. Tsalyuk}, Differ. Uravn. 6, 1112--1114 (1970; Zbl 0198.15001)