Shi, Xiulian; Wang, Keyan; Sun, Hui Spectral collocation methods for fractional multipantograph delay differential equations. (English) Zbl 07796575 Lith. Math. J. 63, No. 4, 505-523 (2023). MSC: 65M70 65D32 65M60 65T60 65M12 65M15 45D05 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{X. Shi} et al., Lith. Math. J. 63, No. 4, 505--523 (2023; Zbl 07796575) Full Text: DOI
Cherkaev, Elena; Kim, Minwoo; Lim, Mikyoung Geometric series expansion of the Neumann-Poincaré operator: application to composite materials. (English) Zbl 1504.35039 Eur. J. Appl. Math. 33, No. 3, 560-585 (2022). MSC: 35B27 31A10 35J15 45C05 30C35 PDFBibTeX XMLCite \textit{E. Cherkaev} et al., Eur. J. Appl. Math. 33, No. 3, 560--585 (2022; Zbl 1504.35039) Full Text: DOI arXiv
Panigrahi, Bijaya Laxmi Combined Legendre spectral-finite element methods for two-dimensional Fredholm integral equations of the second kind. (English) Zbl 07618157 Numer. Funct. Anal. Optim. 43, No. 16, 1801-1820 (2022). MSC: 65-XX 45-XX 47-XX 90-XX PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Numer. Funct. Anal. Optim. 43, No. 16, 1801--1820 (2022; Zbl 07618157) Full Text: DOI
Shadimetov, Kh. M.; Akhmedov, D. M. Approximate solution of a singular integral equation using the Sobolev method. (English) Zbl 1501.65159 Lobachevskii J. Math. 43, No. 2, 496-505 (2022). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45E05 65D32 PDFBibTeX XMLCite \textit{Kh. M. Shadimetov} and \textit{D. M. Akhmedov}, Lobachevskii J. Math. 43, No. 2, 496--505 (2022; Zbl 1501.65159) Full Text: DOI
Niebel, Lukas Kinetic maximal \(L_\mu^p(L^p)\)-regularity for the fractional Kolmogorov equation with variable density. (English) Zbl 1476.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112517, 21 p. (2022). MSC: 35B45 35B65 35K59 35K65 35R11 45K05 PDFBibTeX XMLCite \textit{L. Niebel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112517, 21 p. (2022; Zbl 1476.35067) Full Text: DOI arXiv
Katani, R.; McKee, S. Numerical solution of two-dimensional weakly singular Volterra integral equations with non-smooth solutions. (English) Zbl 1491.65171 J. Comput. Appl. Math. 402, Article ID 113779, 10 p. (2022). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{R. Katani} and \textit{S. McKee}, J. Comput. Appl. Math. 402, Article ID 113779, 10 p. (2022; Zbl 1491.65171) Full Text: DOI
De León-Contreras, Marta; Gyöngy, István; Wu, Sizhou On solvability of integro-differential equations. (English) Zbl 1480.45011 Potential Anal. 55, No. 3, 443-475 (2021). Reviewer: Sergiu Aizicovici (Verona) MSC: 45K05 35R09 47G20 PDFBibTeX XMLCite \textit{M. De León-Contreras} et al., Potential Anal. 55, No. 3, 443--475 (2021; Zbl 1480.45011) Full Text: DOI arXiv
Gyöngy, István; Wu, Sizhou On \(L_p\)-solvability of stochastic integro-differential equations. (English) Zbl 1470.45020 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 295-342 (2021). MSC: 45R05 60H20 PDFBibTeX XMLCite \textit{I. Gyöngy} and \textit{S. Wu}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 295--342 (2021; Zbl 1470.45020) Full Text: DOI arXiv
Panigrahi, Bijaya Laxmi Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind. (English) Zbl 1472.65167 Appl. Numer. Math. 168, 235-250 (2021). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{B. L. Panigrahi}, Appl. Numer. Math. 168, 235--250 (2021; Zbl 1472.65167) Full Text: DOI
Yang, Changqing; Hou, Jianhua Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations. (English) Zbl 1458.65072 Numer. Algorithms 86, No. 3, 1089-1108 (2021). MSC: 65L03 34K37 45D05 65L60 65R20 PDFBibTeX XMLCite \textit{C. Yang} and \textit{J. Hou}, Numer. Algorithms 86, No. 3, 1089--1108 (2021; Zbl 1458.65072) Full Text: DOI
Shi, Xiulian; Chen, Yanping; Huang, Yunqing; Huang, Fenglin Spectral collocation methods for second-order Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1488.65759 Adv. Appl. Math. Mech. 12, No. 2, 480-502 (2020). MSC: 65R20 65M70 45D05 45J05 PDFBibTeX XMLCite \textit{X. Shi} et al., Adv. Appl. Math. Mech. 12, No. 2, 480--502 (2020; Zbl 1488.65759) Full Text: DOI
Cruz, José M. T. S.; Ševčovič, Daniel On solutions of a partial integro-differential equation in Bessel potential spaces with applications in option pricing models. (English) Zbl 1474.45064 Japan J. Ind. Appl. Math. 37, No. 3, 697-721 (2020). MSC: 45K05 45R05 60G65 91G20 PDFBibTeX XMLCite \textit{J. M. T. S. Cruz} and \textit{D. Ševčovič}, Japan J. Ind. Appl. Math. 37, No. 3, 697--721 (2020; Zbl 1474.45064) Full Text: DOI arXiv
Kühn, Franziska Existence of (Markovian) solutions to martingale problems associated with Lévy-type operators. (English) Zbl 1448.60162 Electron. J. Probab. 25, Paper No. 16, 26 p. (2020). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J35 60J25 60H10 60J76 45K05 35S05 60G51 PDFBibTeX XMLCite \textit{F. Kühn}, Electron. J. Probab. 25, Paper No. 16, 26 p. (2020; Zbl 1448.60162) Full Text: DOI arXiv Euclid
Ruzhansky, M.; Tokmagambetov, N.; Torebek, B. T. Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group. (English) Zbl 1442.45010 Integral Transforms Spec. Funct. 31, No. 1, 1-9 (2020). MSC: 45K05 35R11 34B10 35R03 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Integral Transforms Spec. Funct. 31, No. 1, 1--9 (2020; Zbl 1442.45010) Full Text: DOI
Shi, Xiulian; Huang, Fenglin; Hu, Hanzhang Convergence analysis of spectral methods for high-order nonlinear Volterra integro-differential equations. (English) Zbl 1438.65343 Comput. Appl. Math. 38, No. 2, Paper No. 56, 21 p. (2019). MSC: 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{X. Shi} et al., Comput. Appl. Math. 38, No. 2, Paper No. 56, 21 p. (2019; Zbl 1438.65343) Full Text: DOI
Mou, Chenchen Existence of \(C^\alpha \) solutions to integro-PDEs. (English) Zbl 1432.35215 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 143, 28 p. (2019). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 35R09 35B65 35D40 35J60 45K05 47G20 49N70 49L25 PDFBibTeX XMLCite \textit{C. Mou}, Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 143, 28 p. (2019; Zbl 1432.35215) Full Text: DOI arXiv
Mou, Chenchen Remarks on Schauder estimates and existence of classical solutions for a class of uniformly parabolic Hamilton-Jacobi-Bellman integro-PDEs. (English) Zbl 1414.35253 J. Dyn. Differ. Equations 31, No. 2, 719-743 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35R09 35D40 35K61 45K05 47G20 93E20 PDFBibTeX XMLCite \textit{C. Mou}, J. Dyn. Differ. Equations 31, No. 2, 719--743 (2019; Zbl 1414.35253) Full Text: DOI
Keller, Christian Viscosity solutions of path-dependent integro-differential equations. (English) Zbl 1383.45004 Stochastic Processes Appl. 126, No. 9, 2665-2718 (2016). MSC: 45K05 35D40 60H10 60H30 35R09 PDFBibTeX XMLCite \textit{C. Keller}, Stochastic Processes Appl. 126, No. 9, 2665--2718 (2016; Zbl 1383.45004) Full Text: DOI arXiv
Kim, Ildoo; Kim, Kyeong-Hun An \(L_p\)-theory for a class of non-local elliptic equations related to nonsymmetric measurable kernels. (English) Zbl 1329.45015 J. Math. Anal. Appl. 434, No. 2, 1302-1335 (2016). MSC: 45K05 35B45 35B65 60J75 35R09 PDFBibTeX XMLCite \textit{I. Kim} and \textit{K.-H. Kim}, J. Math. Anal. Appl. 434, No. 2, 1302--1335 (2016; Zbl 1329.45015) Full Text: DOI arXiv
Repšys, Šarūnas; Skakauskas, Vladas On the anticrowding population dynamics taking into account a discrete set of offspring. (English) Zbl 1508.92226 Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 56, 84-89 (2015). MSC: 92D25 45K05 65R99 PDFBibTeX XMLCite \textit{Š. Repšys} and \textit{V. Skakauskas}, Liet. Mat. Rink., Proc. Lith. Math. Soc., Ser. A 56, 84--89 (2015; Zbl 1508.92226) Full Text: DOI
Mikulevicius, R.; Pragarauskas, H. On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem. (English) Zbl 1296.45009 Potential Anal. 40, No. 4, 539-563 (2014). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 45K05 60J75 60G46 PDFBibTeX XMLCite \textit{R. Mikulevicius} and \textit{H. Pragarauskas}, Potential Anal. 40, No. 4, 539--563 (2014; Zbl 1296.45009) Full Text: DOI arXiv
Mikulevičius, R.; Pragarauskas, H. On the Cauchy problem for integro-differential operators in Sobolev classes and the martingale problem. (English) Zbl 1296.45008 J. Differ. Equations 256, No. 4, 1581-1626 (2014). Reviewer: Iulian Stoleriu (Iaşi) MSC: 45K05 60J75 60G46 PDFBibTeX XMLCite \textit{R. Mikulevičius} and \textit{H. Pragarauskas}, J. Differ. Equations 256, No. 4, 1581--1626 (2014; Zbl 1296.45008) Full Text: DOI arXiv
Bulinskaya, E. Vl. Subcritical catalytic branching random walk with finite or infinite variance of offspring number. (English. Russian original) Zbl 1307.60116 Proc. Steklov Inst. Math. 282, 62-72 (2013); translation from Tr. Mat. Inst. Steklova 282, 69-79 (2013). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60J80 60G50 60B15 45F99 PDFBibTeX XMLCite \textit{E. Vl. Bulinskaya}, Proc. Steklov Inst. Math. 282, 62--72 (2013; Zbl 1307.60116); translation from Tr. Mat. Inst. Steklova 282, 69--79 (2013) Full Text: DOI arXiv
Skakauskas, V. A pair-formation model with a discrete set of offsprings and child care. (English) Zbl 1139.92313 Lith. Math. J. 47, No. 1, 78-111 (2007); and Liet. Mat. Rink. 47, No. 1, 93-129 (2007). Reviewer: Peixuan Weng (Guangzhou) MSC: 92D25 35F15 45D05 PDFBibTeX XMLCite \textit{V. Skakauskas}, Lith. Math. J. 47, No. 1, 78--111 (2007; Zbl 1139.92313) Full Text: DOI
Skakauskas, V. A population dynamics model with strong maternal care. (English. Russian original) Zbl 1136.92033 Lith. Math. J. 46, No. 2, 173-207 (2006); translation from Liet. Mat. Rink. 46, No. 2, 215-255 (2006). Reviewer: Peixuan Weng (Guangzhou) MSC: 92D25 45K05 35F15 PDFBibTeX XMLCite \textit{V. Skakauskas}, Lith. Math. J. 46, No. 2, 173--207 (2006; Zbl 1136.92033); translation from Liet. Mat. Rink. 46, No. 2, 215--255 (2006) Full Text: DOI
Skakauskas, V. A mathematical analysis of an age-space-structured autosomal diploid population dynamics model with random mating and females’ pregnancy. (English. Russian original) Zbl 0942.92025 Lith. Math. J. 38, No. 4, 360-373 (1998); translation from Liet. Mat. Rink. 38, No. 4, 472-490 (1998). MSC: 92D25 47F05 45K05 35K20 PDFBibTeX XMLCite \textit{V. Skakauskas}, Lith. Math. J. 38, No. 4, 360--373 (1998; Zbl 0942.92025); translation from Liet. Mat. Rink. 38, No. 4, 472--490 (1998) Full Text: DOI
Skakauskas, Vladas Product solutions and asymptotic behaviour of sex-age-dependent populations with random mating and females’ pregnancy. (English) Zbl 0980.92030 Math. Biosci. 153, No. 1, 13-40 (1998). MSC: 92D25 91D20 45K05 45M05 PDFBibTeX XMLCite \textit{V. Skakauskas}, Math. Biosci. 153, No. 1, 13--40 (1998; Zbl 0980.92030) Full Text: DOI
Pragarauskas, G. Limit transition in general degenerate Bellman equations. I. (English) Zbl 0518.93061 Lith. Math. J. 20, 317-325 (1981). MSC: 93E20 45G05 60J75 45K05 49J55 60J60 PDFBibTeX XMLCite \textit{G. Pragarauskas}, Lith. Math. J. 20, 317--325 (1981; Zbl 0518.93061) Full Text: DOI