Deng, Guo; Lustri, Christopher J. Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation. (English) Zbl 07801257 Stud. Appl. Math. 150, No. 2, 520-557 (2023). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{G. Deng} and \textit{C. J. Lustri}, Stud. Appl. Math. 150, No. 2, 520--557 (2023; Zbl 07801257) Full Text: DOI arXiv OA License
Xu, Taiyang; Fan, Engui Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions. (English) Zbl 07778787 Stud. Appl. Math. 150, No. 4, 1217-1273 (2023). MSC: 35Q53 35Q15 35B65 37K15 35B40 41A60 PDFBibTeX XMLCite \textit{T. Xu} and \textit{E. Fan}, Stud. Appl. Math. 150, No. 4, 1217--1273 (2023; Zbl 07778787) Full Text: DOI arXiv
Naumkin, Pavel I.; Villela-Aguilar, José de Jesús Asymptotics of solutions to periodic problem for the Korteweg-de Vries-Burgers equation. (English) Zbl 07779120 Stud. Appl. Math. 149, No. 2, 523-536 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B10 35B40 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{J. de J. Villela-Aguilar}, Stud. Appl. Math. 149, No. 2, 523--536 (2022; Zbl 07779120) Full Text: DOI OA License
Feng, Xiao Xuan; Mahinzaeim, Mahyar; Xu, Gen Qi Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions. (English) Zbl 07778741 Stud. Appl. Math. 149, No. 3, 657-677 (2022). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{X. X. Feng} et al., Stud. Appl. Math. 149, No. 3, 657--677 (2022; Zbl 07778741) Full Text: DOI arXiv OA License
Liu, Nan; Chen, Mingjuan; Guo, Boling Long-time asymptotic behavior of the fifth-order modified KdV equation in low regularity spaces. (English) Zbl 1479.35743 Stud. Appl. Math. 147, No. 1, 230-299 (2021). MSC: 35Q53 35Q15 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{N. Liu} et al., Stud. Appl. Math. 147, No. 1, 230--299 (2021; Zbl 1479.35743) Full Text: DOI arXiv
Huang, Xiao-Min; Wong, R. Uniform asymptotics and zeros of the associated Pollaczek polynomials. (English) Zbl 1462.33003 Stud. Appl. Math. 145, No. 4, 625-646 (2020). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 26C10 30C10 PDFBibTeX XMLCite \textit{X.-M. Huang} and \textit{R. Wong}, Stud. Appl. Math. 145, No. 4, 625--646 (2020; Zbl 1462.33003) Full Text: DOI
Dunster, T. M. Asymptotic solutions of inhomogeneous differential equations having a turning point. (English) Zbl 1457.34126 Stud. Appl. Math. 145, No. 3, 500-536 (2020). MSC: 34M04 34M30 34M60 PDFBibTeX XMLCite \textit{T. M. Dunster}, Stud. Appl. Math. 145, No. 3, 500--536 (2020; Zbl 1457.34126) Full Text: DOI arXiv
Sultanov, Oskar A. Bifurcations of autoresonant modes in oscillating systems with combined excitation. (English) Zbl 1461.34058 Stud. Appl. Math. 144, No. 2, 213-241 (2020). Reviewer: Hao Wu (Nanjing) MSC: 34C15 34C23 37C60 34D20 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Stud. Appl. Math. 144, No. 2, 213--241 (2020; Zbl 1461.34058) Full Text: DOI arXiv
Carreño-Bolaños, Rafael; Juarez-Campos, Beatriz; Naumkin, Pavel I. Periodic problem for the nonlinear damped wave equation with convective nonlinearity. (English) Zbl 1452.35103 Stud. Appl. Math. 145, No. 1, 137-149 (2020). MSC: 35L71 35L20 35B40 35B45 PDFBibTeX XMLCite \textit{R. Carreño-Bolaños} et al., Stud. Appl. Math. 145, No. 1, 137--149 (2020; Zbl 1452.35103) Full Text: DOI
Fromm, Samuel Construction of solutions of the defocusing nonlinear Schrödinger equation with asymptotically time-periodic boundary values. (English) Zbl 1448.35468 Stud. Appl. Math. 143, No. 4, 404-448 (2019). MSC: 35Q55 35Q41 35B40 35Q15 35B38 PDFBibTeX XMLCite \textit{S. Fromm}, Stud. Appl. Math. 143, No. 4, 404--448 (2019; Zbl 1448.35468) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Asymptotics of partition functions in a fermionic matrix model and of related \(q\)-polynomials. (English) Zbl 1419.81028 Stud. Appl. Math. 142, No. 1, 91-105 (2019). MSC: 81T10 33D90 41A60 14K25 60B20 33C45 PDFBibTeX XMLCite \textit{D. Dai} et al., Stud. Appl. Math. 142, No. 1, 91--105 (2019; Zbl 1419.81028) Full Text: DOI arXiv
Long, W.-G.; Li, Y.-T.; Liu, S.-Y.; Zhao, Y.-Q. Real solutions of the first Painlevé equation with large initial data. (English) Zbl 1409.34080 Stud. Appl. Math. 139, No. 4, 505-532 (2017). Reviewer: Simonetta Abenda (Bologna) MSC: 34M55 34M40 PDFBibTeX XMLCite \textit{W. G. Long} et al., Stud. Appl. Math. 139, No. 4, 505--532 (2017; Zbl 1409.34080) Full Text: DOI arXiv
Satyanarayana, Engu; Ahmed, Mohd; Murugan, V. Large time asymptotics with error estimates to solutions of a forced Burgers equation. (English) Zbl 1383.35201 Stud. Appl. Math. 138, No. 2, 185-204 (2017). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 35B40 35B45 33C45 PDFBibTeX XMLCite \textit{E. Satyanarayana} et al., Stud. Appl. Math. 138, No. 2, 185--204 (2017; Zbl 1383.35201) Full Text: DOI
Jutley, Jessica J.; Aceves, Alejandro B. Spontaneous \(\mathcal {PT}\)-symmetry breaking in nonlinearly coupled van der Pol oscillators. (English) Zbl 1366.34051 Stud. Appl. Math. 137, No. 2, 256-270 (2016). Reviewer: Qiru Wang (Guangzhou) MSC: 34C15 34C14 34E10 PDFBibTeX XMLCite \textit{J. J. Jutley} and \textit{A. B. Aceves}, Stud. Appl. Math. 137, No. 2, 256--270 (2016; Zbl 1366.34051) Full Text: DOI
Rao, Ch. Srinivasa; Nath, Smriti A study of separable solutions of a generalized Burgers equation. (English) Zbl 1321.35171 Stud. Appl. Math. 134, No. 4, 403-419 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q35 35B40 65L10 76Q05 PDFBibTeX XMLCite \textit{Ch. S. Rao} and \textit{S. Nath}, Stud. Appl. Math. 134, No. 4, 403--419 (2015; Zbl 1321.35171) Full Text: DOI
Miller, Peter D.; Qin, Zhenyun Initial-boundary value problems for the defocusing nonlinear Schrödinger equation in the semiclassical limit. (English) Zbl 1314.35166 Stud. Appl. Math. 134, No. 3, 276-362 (2015). MSC: 35Q55 35B40 35Q15 35R30 PDFBibTeX XMLCite \textit{P. D. Miller} and \textit{Z. Qin}, Stud. Appl. Math. 134, No. 3, 276--362 (2015; Zbl 1314.35166) Full Text: DOI arXiv
O’Malley, Robert E. jun.; Kirkinis, Eleftherios Variation of parameters and the renormalization group method. (English) Zbl 1408.82002 Stud. Appl. Math. 134, No. 2, 215-232 (2015). MSC: 82B28 34E10 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.} and \textit{E. Kirkinis}, Stud. Appl. Math. 134, No. 2, 215--232 (2015; Zbl 1408.82002) Full Text: DOI
Nixon, Sean D.; Yang, Jianke Exponential asymptotics for solitons in \(\mathcal{PT}\)-symmetric periodic potentials. (English) Zbl 1321.35189 Stud. Appl. Math. 133, No. 4, 373-397 (2014). Reviewer: Xue Bo (Zhengzhou) MSC: 35Q51 35Q55 35B40 PDFBibTeX XMLCite \textit{S. D. Nixon} and \textit{J. Yang}, Stud. Appl. Math. 133, No. 4, 373--397 (2014; Zbl 1321.35189) Full Text: DOI arXiv
Zhen, Qiang; Knessl, Charles Asymptotic analysis of spectral properties of finite capacity processor shared queues. (English) Zbl 1418.34157 Stud. Appl. Math. 131, No. 2, 179-210 (2013). MSC: 34L10 34L15 34E10 PDFBibTeX XMLCite \textit{Q. Zhen} and \textit{C. Knessl}, Stud. Appl. Math. 131, No. 2, 179--210 (2013; Zbl 1418.34157) Full Text: DOI arXiv
Dunster, T. M. Simplified asymptotic solutions of differential equations having two turning points, with an application to Legendre functions. (English) Zbl 1254.34018 Stud. Appl. Math. 127, No. 3, 250-283 (2011). MSC: 34A30 33C55 34E10 PDFBibTeX XMLCite \textit{T. M. Dunster}, Stud. Appl. Math. 127, No. 3, 250--283 (2011; Zbl 1254.34018) Full Text: DOI
Rao, Ch. Srinivasa; Satyanarayana, Engu Large-time asymptotics for solutions of a generalized Burgers equation with variable viscosity. (English) Zbl 1228.35207 Stud. Appl. Math. 127, No. 1, 1-23 (2011). MSC: 35Q53 35B40 35C20 35B10 PDFBibTeX XMLCite \textit{Ch. S. Rao} and \textit{E. Satyanarayana}, Stud. Appl. Math. 127, No. 1, 1--23 (2011; Zbl 1228.35207) Full Text: DOI
O’Malley, Robert E. jun.; Kirkinis, Eleftherios A combined renormalization group-multiple scale method for singularly perturbed problems. (English) Zbl 1204.34078 Stud. Appl. Math. 124, No. 4, 383-410 (2010). Reviewer: E. V. Shchetinina (Samara) MSC: 34E05 34E13 34B15 34A12 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.} and \textit{E. Kirkinis}, Stud. Appl. Math. 124, No. 4, 383--410 (2010; Zbl 1204.34078) Full Text: DOI
Fokas, A. S.; Papageorgiou, D. T. Absolute and convective instability for evolution PDEs on the half-line. (English) Zbl 1145.34304 Stud. Appl. Math. 114, No. 1, 95-114 (2005). MSC: 34A35 34A36 34E10 60K25 78A05 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{D. T. Papageorgiou}, Stud. Appl. Math. 114, No. 1, 95--114 (2005; Zbl 1145.34304) Full Text: DOI
Dunster, T. M. Convergent expansions for solutions of linear ordinary differential equations having a simple pole, with an application to associated Legendre functions. (English) Zbl 1141.34352 Stud. Appl. Math. 113, No. 3, 245-270 (2004). MSC: 34M30 33C05 34M25 PDFBibTeX XMLCite \textit{T. M. Dunster}, Stud. Appl. Math. 113, No. 3, 245--270 (2004; Zbl 1141.34352) Full Text: DOI
Ou, C. H.; Wong, R. On a two-point boundary-value problem with spurious solutions. (English) Zbl 1141.34329 Stud. Appl. Math. 111, No. 4, 377-408 (2003). MSC: 34E10 34B15 PDFBibTeX XMLCite \textit{C. H. Ou} and \textit{R. Wong}, Stud. Appl. Math. 111, No. 4, 377--408 (2003; Zbl 1141.34329) Full Text: DOI
Dunster, T. M. Convergent expansions for solutions of linear ordinary differential equations having a simple turning point, with an application to Bessel functions. (English) Zbl 1152.34394 Stud. Appl. Math. 107, No. 3, 293-323 (2001). MSC: 34M30 33C10 PDFBibTeX XMLCite \textit{T. M. Dunster}, Stud. Appl. Math. 107, No. 3, 293--323 (2001; Zbl 1152.34394) Full Text: DOI
Joshi, Nalini; Kitaev, A. V. On Boutroux’s tritronquée solutions of the first Painlevé equation. (English) Zbl 1152.34395 Stud. Appl. Math. 107, No. 3, 253-291 (2001). MSC: 34M55 34M30 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{A. V. Kitaev}, Stud. Appl. Math. 107, No. 3, 253--291 (2001; Zbl 1152.34395) Full Text: DOI
Mudavanhu, B.; O’Malley, R. E. jun. A renormalization group method for nonlinear oscillators. (English) Zbl 1152.34336 Stud. Appl. Math. 107, No. 1, 63-79 (2001). MSC: 34C15 34C29 34E10 70K65 PDFBibTeX XMLCite \textit{B. Mudavanhu} and \textit{R. E. O'Malley jun.}, Stud. Appl. Math. 107, No. 1, 63--79 (2001; Zbl 1152.34336) Full Text: DOI
Byatt-Smith, J. G. The Borel transform and its use in the summation of asymptotic expansions. (English) Zbl 1136.34322 Stud. Appl. Math. 105, No. 2, 83-113 (2000). MSC: 34E10 34M30 34M40 PDFBibTeX XMLCite \textit{J. G. Byatt-Smith}, Stud. Appl. Math. 105, No. 2, 83--113 (2000; Zbl 1136.34322) Full Text: DOI
Byatt-Smith, J. G. The Borel transform and its use in the summation of asymptotic expansions. (English) Zbl 1001.34045 Stud. Appl. Math. 103, No. 4, 339-369 (1999). MSC: 34E05 34M30 34M35 65B10 65L08 PDFBibTeX XMLCite \textit{J. G. Byatt-Smith}, Stud. Appl. Math. 103, No. 4, 339--369 (1999; Zbl 1001.34045) Full Text: DOI
Joshi, Nalini The second Painlevé equation in the large-parameter limit. I: Local asymptotic analysis. (English) Zbl 1001.34079 Stud. Appl. Math. 102, No. 4, 345-373 (1999). MSC: 34M30 34A12 34E10 PDFBibTeX XMLCite \textit{N. Joshi}, Stud. Appl. Math. 102, No. 4, 345--373 (1999; Zbl 1001.34079) Full Text: DOI arXiv
Brothers, Jerry D.; Haberman, Richard Slow passage through a homoclinic orbit with subharmonic resonances. (English) Zbl 1020.34044 Stud. Appl. Math. 101, No. 2, 211-232 (1998). MSC: 34E10 37C29 70H09 70K30 PDFBibTeX XMLCite \textit{J. D. Brothers} and \textit{R. Haberman}, Stud. Appl. Math. 101, No. 2, 211--232 (1998; Zbl 1020.34044) Full Text: DOI
Abdullayev, Alisher S. Justification of asymptotic formulas for the fourth Painlevé equation. (English) Zbl 0887.34007 Stud. Appl. Math. 99, No. 3, 255-283 (1997). Reviewer: K.Takano (Kobe) MSC: 34M55 33E99 PDFBibTeX XMLCite \textit{A. S. Abdullayev}, Stud. Appl. Math. 99, No. 3, 255--283 (1997; Zbl 0887.34007) Full Text: DOI
Woodruff, S. L. A uniformly-valid asymptotic solution to a matrix system of ordinary differential equations and a proof of its validity. (English) Zbl 0838.34072 Stud. Appl. Math. 94, No. 4, 393-413 (1995). Reviewer: V.V.Strygin (Voronezh) MSC: 34E05 34M40 PDFBibTeX XMLCite \textit{S. L. Woodruff}, Stud. Appl. Math. 94, No. 4, 393--413 (1995; Zbl 0838.34072) Full Text: DOI
Witelski, Thomas P.; Cohen, Donald S. Forbidden regions for shock formation in diffusive systems. (English) Zbl 0834.76083 Stud. Appl. Math. 95, No. 3, 297-317 (1995). MSC: 76R50 76L05 35K57 PDFBibTeX XMLCite \textit{T. P. Witelski} and \textit{D. S. Cohen}, Stud. Appl. Math. 95, No. 3, 297--317 (1995; Zbl 0834.76083) Full Text: DOI
Grimshaw, R. Weakly nonlocal solitary waves in a singularly perturbed nonlinear Schrödinger equation. (English) Zbl 0826.35117 Stud. Appl. Math. 94, No. 3, 257-270 (1995). MSC: 35Q55 35B25 76B25 PDFBibTeX XMLCite \textit{R. Grimshaw}, Stud. Appl. Math. 94, No. 3, 257--270 (1995; Zbl 0826.35117) Full Text: DOI
Lange, Charles G.; Smith, Donald R. Singular perturbation analysis of integral equations. II. (English) Zbl 0782.45001 Stud. Appl. Math. 90, No. 1, 1-74 (1993). MSC: 45B05 45D05 45M05 PDFBibTeX XMLCite \textit{C. G. Lange} and \textit{D. R. Smith}, Stud. Appl. Math. 90, No. 1, 1--74 (1993; Zbl 0782.45001) Full Text: DOI
Lange, Charles G.; Smith, Donald R. Singular perturbation analysis of integral equations. (English) Zbl 0654.45001 Stud. Appl. Math. 79, No. 1, 1-63 (1988). Reviewer: S.Milusheva MSC: 45B05 45M05 45J05 PDFBibTeX XMLCite \textit{C. G. Lange} and \textit{D. R. Smith}, Stud. Appl. Math. 79, No. 1, 1--63 (1988; Zbl 0654.45001) Full Text: DOI
Majda, Andrew; Rosales, Rodolfo A theory for spontaneous Mach-stem formation in reacting shock fronts. II: Steady-wave bifurcations and the evidence for breakdown. (English) Zbl 0584.76075 Stud. Appl. Math. 71, 117-148 (1984). MSC: 76L05 80A99 76E99 76M99 PDFBibTeX XMLCite \textit{A. Majda} and \textit{R. Rosales}, Stud. Appl. Math. 71, 117--148 (1984; Zbl 0584.76075) Full Text: DOI
Kath, William L. Resonance in periodically perturbed Hopf bifurcation. (English) Zbl 0487.34041 Stud. Appl. Math. 65, 95-112 (1981). MSC: 34C25 34D10 35B32 34E10 PDFBibTeX XMLCite \textit{W. L. Kath}, Stud. Appl. Math. 65, 95--112 (1981; Zbl 0487.34041) Full Text: DOI
Kevorkian, J. Resonance in a weakly nonlinear system with slowly varying parameters. (English) Zbl 0487.70027 Stud. Appl. Math. 62, 23-67 (1980). MSC: 70K30 85A05 37J40 37J99 34E10 PDFBibTeX XMLCite \textit{J. Kevorkian}, Stud. Appl. Math. 62, 23--67 (1980; Zbl 0487.70027) Full Text: DOI
Kelly, Brian J. Admissible domains for higher order differential equations. (English) Zbl 0407.34043 Studies Appl. Math. 60, 211-240 (1979). MSC: 34E10 34E99 PDFBibTeX XMLCite \textit{B. J. Kelly}, Stud. Appl. Math. 60, 211--240 (1979; Zbl 0407.34043) Full Text: DOI