Huang, Hai; Fu, Xianlong Nonconvex optimal control problems for semi-linear neutral integro-differential systems with infinite delay. (English) Zbl 07971463 J. Differ. Equations 416, Part 2, 1137-1177 (2025). MSC: 34K40 44A10 45K05 49J20 93C23 × Cite Format Result Cite Review PDF Full Text: DOI
Artemeva, M. V.; Korpusov, M. O. The Cauchy problem for a nonlinear wave equation. (English. Russian original) Zbl 07982980 Differ. Equ. 60, No. 10, 1369-1382 (2024); translation from Differ. Uravn. 60, No. 10, 1299-1311 (2024). MSC: 35G25 35A08 35Q81 × Cite Format Result Cite Review PDF Full Text: DOI
Isah, Muhammad Abubakar; Yokus, Asif; Kaya, Doǧan Bilinear neural network method for obtaining the exact analytical solutions to nonlinear evolution equations and its application to KdV equation. (English) Zbl 07975480 Khayyam J. Math. 10, No. 2, 228-248 (2024). MSC: 35A08 35C07 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Anceschi, Francesca; Polidoro, Sergio; Rebucci, Annalaura Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator. (English) Zbl 07974259 J. Evol. Equ. 24, No. 4, Paper No. 93, 28 p. (2024). MSC: 35Q84 35K70 35Q75 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, C. S.; Karageorghis, Andreas; Lei, Min Local MFS matrix decomposition algorithms for elliptic BVPs in annuli. (English) Zbl 07966422 Numer. Math., Theory Methods Appl. 17, No. 1, 93-120 (2024). MSC: 65N35 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Stepanova, I. E.; Kolotov, I. I.; Shchepetilov, A. V.; Yagola, A. G.; Levashov, A. N. On the uniqueness of the finite-difference analogues of the fundamental solution of the heat equation and the wave equation in discrete potential theory. (English) Zbl 07965661 Comput. Math. Math. Phys. 64, No. 12, 2893-2904 (2024). MSC: 39A14 39A12 35L05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Garofalo, Nicola On an evolution equation in sub-Finsler geometry. (English) Zbl 07960704 Anal. Geom. Metr. Spaces 12, Article ID 20240012, 19 p. (2024). MSC: 35R03 35H20 35B09 35K58 53C17 58J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pasichnyk, H. S. Solutions of some integral equations of the second kind. (Ukrainian. English summary) Zbl 07954138 Bukovyn. Mat. Zh. 12, No. 1, 84-93 (2024). MSC: 45B05 35A08 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Hua-Yu; Gao, Xiao-Wei; Lv, Jun The fundamental solution element method based on irregular polygonal meshes. (English) Zbl 07953246 Comput. Math. Appl. 174, 481-494 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Abdullaev, Vagif Maarif ogly To the solution of loaded differential equations with nonlocal conditions. (Russian. English summary) Zbl 07949469 Izv. Irkutsk. Gos. Univ., Ser. Mat. 49, 45-62 (2024). MSC: 34K06 34B10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Irgashev, B. Y. Application of hypergeometric functions to the construction of particular solutions. (English) Zbl 07948887 Complex Var. Elliptic Equ. 69, No. 12, 2025-2047 (2024). MSC: 35C06 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Pak, Song-Hui; Jo, Kwang-Chol; Sin, Chung-Sik Representation of solutions and asymptotic behavior for nonlocal diffusion equations describing tempered Lévy flights. (English) Zbl 07941314 Rocky Mt. J. Math. 54, No. 5, 1473-1497 (2024). MSC: 35R11 35A08 35B40 35C15 45K05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Stepanova, I. E.; Kolotov, I. I.; Yagola, A. G.; Levashov, A. N. On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential. (English) Zbl 07940393 Comput. Math. Math. Phys. 64, No. 7, 1523-1536 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Koike, Shigeaki; Kosugi, Takahiro Rate of convergence for approximate solutions in obstacle problems for nonlinear operators. (English) Zbl 07925338 Machihara, Shuji (ed.), Mathematical physics and its interactions. In honor of the 60th birthday of Tohru Ozawa, Tokyo, Japan, August 25–27, 2021. Conference proceedings. Singapore: Springer. Springer Proc. Math. Stat. 451, 63-93 (2024). MSC: 35K86 35A08 35D40 35K55 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Xiaofeng; Yan, Dongxue; Fu, Xianlong Existence of solutions and approximate controllability of second-order stochastic differential systems with Poisson jumps and finite delay. (English) Zbl 07925112 J. Fixed Point Theory Appl. 26, No. 4, Paper No. 38, 33 p. (2024). MSC: 34K30 34K35 34K50 60J76 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Pasternak, Viktoriya; Sulym, Heorhiy; Pasternak, Iaroslav M.; Hotsyk, Ihor Extended Stroh formalism for plane problems of thermoelasticity of quasicrystals with applications to Green’s functions and fracture mechanics. (English) Zbl 1549.74551 Int. J. Eng. Sci. 203, Article ID 104124, 19 p. (2024). MSC: 74R99 74A15 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Tongtong; Chang, Der-Chen; Han, Yongsheng; Wu, Xinfeng Estimates of fundamental solution for Kohn Laplacian in Besov and Triebel-Lizorkin spaces. (English) Zbl 1547.42048 Appl. Anal. 103, No. 4, 763-789 (2024). MSC: 42B35 42B20 32A50 × Cite Format Result Cite Review PDF Full Text: DOI
Rozanova, Olga S.; Krutov, Nikolai A. The fundamental solution of the master equation for a jump-diffusion Ornstein-Uhlenbeck process. (English) Zbl 1545.60072 Math. Nachr. 297, No. 8, 3052-3063 (2024). MSC: 60H10 82C31 60J76 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feulefack, Pierre Aime The fractional logarithmic Schrödinger operator: properties and functional spaces. (English) Zbl 07914778 J. Pseudo-Differ. Oper. Appl. 15, No. 3, Paper No. 55, 38 p. (2024). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 45K05 45P05 45C05 45A05 35R11 35S15 26A33 46E10 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eriksson, Sirkka-Liisa; Orelma, Heikki A simple construction of a fundamental solution for the extended Weinstein equation. (English) Zbl 1547.35012 Cubo 26, No. 2, 341-358 (2024). MSC: 35A08 35J15 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Bellido, José Carlos; Cueto, Javier; Foss, Mikil D.; Radu, Petronela Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients. (English) Zbl 07898805 Appl. Math. Optim. 90, No. 1, Paper No. 16, 49 p. (2024). MSC: 26B20 31B10 35C15 41A35 42B20 45A05 45E10 45P05 46N20 47G10 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Prakash Kumar Superposed and superposed-type double periodic Jacobi elliptic function solutions of variable coefficients KdV equation. (English) Zbl 1545.35156 Int. J. Theor. Phys. 63, No. 7, Paper No. 171, 21 p. (2024). MSC: 35Q53 35Q35 76B25 35A22 35E05 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Konenkov, A. N. The first boundary-value problem for the Fokker-Planck equation with one spatial variable. (English. Russian original) Zbl 1547.35682 J. Math. Sci., New York 283, No. 3, 397-401 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 186, 52-56 (2020). MSC: 35Q84 35A08 35K10 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Chandler-Wilde, S. N.; Spence, E. A. Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains. (English) Zbl 1548.35119 Numer. Math. 156, No. 4, 1325-1384 (2024). MSC: 35J05 35J25 35A08 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Hui; He, Chao; Gong, Quanmei; Li, Xiaoxin; Zhang, Xiaohui; Di, Honggui; Zhou, Shunhua Three-dimensional fundamental solution for dynamic responses of a layered transversely isotropic saturated half-space using coupled thin-layer and complex frequency shifted perfectly matched layer method. (English) Zbl 07892979 Eng. Anal. Bound. Elem. 166, Article ID 105856, 21 p. (2024). MSC: 76S05 74F10 74S99 65M85 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, M. X.; Yan, X. B.; Liu, Y. C.; Wen, P. H. Method of fundamental solution for thin plate resting on elastic foundation with in-plane forces. (English) Zbl 07886254 Eng. Anal. Bound. Elem. 164, Article ID 105767, 16 p. (2024). MSC: 74S99 65M80 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xu; Schiavone, Peter An elliptical incompressible liquid inclusion in an infinite anisotropic elastic space. (English) Zbl 07883037 Math. Mech. Complex Syst. 12, No. 2, 217-232 (2024). MSC: 74E05 74B05 74E10 74F10 74S70 × Cite Format Result Cite Review PDF Full Text: DOI
Bobodzhanov, Abdukhafiz Abdurasulovich; Bobodzhanova, Mashkhura Abdukhafizovna; Safonov, Valeriĭ Fedorovich Singularly perturbed problems with kernes depending on fundamental solutions of integro-differential equations. (Russian. English summary) Zbl 1543.45006 Differ. Uravn. Protsessy Upr. 2024, No. 2, 10-34 (2024). MSC: 45J05 34D15 34E15 × Cite Format Result Cite Review PDF Full Text: Link
Brauner, Claude-Michel; Shang, Peipei; Zhang, Linwan On a 2D transmission problem with singularity at the interface modeling autoignition of reactive jets. (English) Zbl 1543.35094 Discrete Contin. Dyn. Syst., Ser. B 29, No. 8, 3446-3470 (2024). MSC: 35K57 35C07 35A21 35A08 33C10 80A25 × Cite Format Result Cite Review PDF Full Text: DOI
Mirzaei, Hamid; Moghim, Mohammad Navid; Movahedian, Bashir Numerical solution of hydrodynamic efficiency equations for an oscillating water column wave energy converter using the method of fundamental solutions. (English) Zbl 07875813 Eng. Anal. Bound. Elem. 158, 270-288 (2024). MSC: 76B15 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Boichuk, Olha General solution of the dynamic space problem in the evaluation of vibrations in elastic layer. (English. Ukrainian original) Zbl 1545.74026 J. Math. Sci., New York 279, No. 3, 293-307 (2024); translation from Neliniĭni Kolyvannya 26, No. 2, 167-178 (2023). MSC: 74H45 74J05 74B05 74H05 × Cite Format Result Cite Review PDF Full Text: DOI
Legatiuk, Anastasiia; Gürlebeck, Klaus; Hommel, Angela Estimates for the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice. (English) Zbl 07869455 Math. Methods Appl. Sci. 47, No. 10, 8002-8024 (2024). MSC: 39A70 39A12 39A14 × Cite Format Result Cite Review PDF Full Text: DOI
Djemai, Samiha; Mesbahi, Salim Solving a class of quasilinear first order PDE. (English) Zbl 1542.35125 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 62-77 (2024). MSC: 35F50 35A08 35C05 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Aimi, A.; Guardasoni, C. BEM based semi-analytical approach for accurate evaluation of arithmetic Asian barrier options. (English) Zbl 07863383 Comput. Math. Appl. 167, 74-91 (2024). MSC: 91-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ju, Bingrui; Gu, Yan; Wang, Ruzhuan An enriched radial integration method for evaluating domain integrals in transient boundary element analysis. (English) Zbl 1539.65108 Appl. Math. Lett. 153, Article ID 109067, 6 p. (2024). MSC: 65M38 65R30 74S15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tingyue; Chen, Yu; Miao, Yun; Ma, Dingjiong Learning based numerical methods for acoustic frequency-domain simulation with high frequency. (English) Zbl 07855374 Eng. Anal. Bound. Elem. 163, 200-210 (2024). MSC: 76Q05 65K10 65N21 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Naga, Taha H. A.; Elsheikh, Elsayed M. Improved dynamic analysis of shear deformable shells using the hybrid displacement boundary element method. (English) Zbl 07855301 Eng. Anal. Bound. Elem. 160, 213-225 (2024). MSC: 74S15 65N38 74K25 × Cite Format Result Cite Review PDF Full Text: DOI
Acosta, Sebastian; Khajah, Tahsin Method of virtual sources using on-surface radiation conditions for the Helmholtz equation. (English) Zbl 07855276 Eng. Anal. Bound. Elem. 159, 342-351 (2024). MSC: 76Q05 35J05 76M15 65N38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Athanasiadis, C. E.; Athanasiadou, E. S.; Arkoudis, I. The MFS for direct and inverse electromagnetic scattering problems in chiral media. (English) Zbl 07853313 Comput. Math. Appl. 163, 201-225 (2024). MSC: 78-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huyuan; Véron, Laurent The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution. (English) Zbl 1540.35237 J. Funct. Anal. 287, No. 3, Article ID 110470, 73 p. (2024). MSC: 35K15 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mamedov, Yu. A.; Mastaliyev, V. Yu. On solvability of a mixed problem for a class of equations that change type. (English) Zbl 1537.35252 Azerb. J. Math. 14, No. 1, 186-201 (2024). MSC: 35M13 35A01 35A02 35K65 × Cite Format Result Cite Review PDF Full Text: Link
Danilov, V. G. Asymptotics of fundamental solutions of parabolic problems. (English. Russian original) Zbl 1537.35008 Math. Notes 115, No. 2, 182-191 (2024); translation from Mat. Zametki 115, No. 2, 219-229 (2024). MSC: 35A08 35B25 35F21 35Q84 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Guseynov, Oruc M.; Mamedov, Tahir J. Fundametal solution of a Cauchy and Goursat type problem for second order hyperbolic equations and related optimal control problems. (English) Zbl 1549.41022 J. Contemp. Appl. Math. 14, No. 1, 1-8 (2024). MSC: 41A35 47A58 × Cite Format Result Cite Review PDF Full Text: DOI
Ascanelli, Alessia; Coriasco, Sandro; Süss, André Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces. I: Operators with uniformly bounded coefficients. (English) Zbl 1537.35431 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 60, 15 p. (2024). MSC: 35R60 35Q55 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Qingze; Xie, Huayou Gradient estimates for fundamental solutions of a Schrödinger operator on stratified Lie groups. (English) Zbl 1541.35159 Proc. Am. Math. Soc. 152, No. 5, 2069-2085 (2024). MSC: 35J10 35R03 35A08 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Falaleev, M. V. Generalized solutions of degenerate integro-differential equations in Banach spaces. (English. Russian original) Zbl 1540.45019 J. Math. Sci., New York 279, No. 5, 710-722 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 139-151 (2020). MSC: 45N05 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Chkadua, George; Shargorodsky, Eugene Asymptotic analysis of fundamental solutions of hypoelliptic operators. (English) Zbl 1536.35004 Georgian Math. J. 31, No. 2, 205-228 (2024). MSC: 35A08 35A02 35B40 35C20 35H10 × Cite Format Result Cite Review PDF Full Text: DOI
Aldirany, Ziad; Cottereau, Régis; Laforest, Marc; Prudhomme, Serge Operator approximation of the wave equation based on deep learning of Green’s function. (English) Zbl 07824618 Comput. Math. Appl. 159, 21-30 (2024). MSC: 35-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Henderson, Christopher; Wang, Weinan Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation. (English) Zbl 1534.35399 Discrete Contin. Dyn. Syst. 44, No. 4, 1026-1072 (2024). MSC: 35Q84 35Q20 35Q82 82C40 76N15 76P05 35B65 35D30 35D35 35A09 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maz’ya, Vladimir; McOwen, Robert The fundamental solution of an elliptic equation with singular drift. (English) Zbl 1534.35005 Pure Appl. Funct. Anal. 9, No. 1, 251-272 (2024). MSC: 35A08 35B40 35J15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kang, Xiaodong; Fan, Hongxia Approximate controllability for second-order stochastic neutral evolution equations with infinite delay. (English) Zbl 1530.34061 Evol. Equ. Control Theory 13, No. 1, 140-159 (2024). MSC: 34K30 34K35 60H15 93B05 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Runjie; Dong, Ming; Zhao, Lei Principle of fundamental resonance in hypersonic boundary layers: an asymptotic viewpoint. (English) Zbl 07789945 J. Fluid Mech. 978, Paper No. A30, 44 p. (2024). MSC: 76E05 76E30 76F06 76N20 76K05 76M45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xiaoyu; Wang, Lizhen Fundamental solutions and conservation laws for conformable time fractional partial differential equation. (English) Zbl 1525.35012 J. Comput. Appl. Math. 437, Article ID 115434, 16 p. (2024). MSC: 35A30 35B06 35R11 26A33 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Sabatulina, Tat’yana Leonidovna; Malygina, Vera Vladimirovna Exponential stability and estimates of solutions to systems of functional differential equations. (Russian) Zbl 07950968 Mat. Tr. 26, No. 1, 130-149 (2023). MSC: 34K20 34K06 26A42 45M10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Korzyuk, Viktor Ivanovich; Rudzko, Jan V. Classical solution of the Cauchy problem for a quasi-linear wave equation with discontinuous initial conditions. (English) Zbl 07948742 Dokl. Nats. Akad. Nauk Belarusi 67, No. 3, 183-188 (2023). MSC: 35A08 35L15 35L71 35R05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Malygina, V. On estimating the sharp exponent for systems of autonomous delay differential equations. (English) Zbl 1544.34139 Funct. Differ. Equ. 30, No. 1-2, 67-75 (2023). MSC: 34K25 34K20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rozanova, O. S. On the solution to the Kolmogorov-Feller equation arising in a biological evolution model. (English. Russian original) Zbl 1539.60089 Mosc. Univ. Math. Bull. 78, No. 6, 276-280 (2023); translation from Vestn. Mosk. Univ., Ser. I 78, No. 6, 23-27 (2023). MSC: 60J25 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yao; Lu, Xinru; Chen, Bo The method of fundamental solutions for the high frequency acoustic-elastic problem and its relationship to a pure acoustic problem. (English) Zbl 1539.74505 Eng. Anal. Bound. Elem. 156, 299-310 (2023). MSC: 74S15 65M80 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Shou-Zhen; Zhou, Xu-Hong; Wang, Yu-Hang; Gan, Dan; Deng, Xiao-Wei Closed-form solution of fundamental frequency of steel-concrete hybrid wind turbine tower. (English) Zbl 1537.74071 Int. J. Struct. Stab. Dyn. 23, No. 3, Article ID 2350031, 31 p. (2023). MSC: 74H05 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Nan; Fu, Xianlong On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions. (English) Zbl 1537.93082 Fract. Calc. Appl. Anal. 26, No. 5, 2237-2263 (2023). MSC: 93B05 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Irgashev, B. Yu. Construction of fundamental solution for an odd-order equation. (English. Russian original) Zbl 1537.35009 Vestn. St. Petersbg. Univ., Math. 56, No. 4, 512-520 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 244-255 (2018). MSC: 35A08 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Xun Gui On simultaneous Pell equations \(x^2-(m^2-1) y^2=z^2-(n^2-1) y^2=1\). (Chinese. English summary) Zbl 1549.11078 Acta Math. Sin., Chin. Ser. 66, No. 1, 133-142 (2023). MSC: 11D09 11J86 × Cite Format Result Cite Review PDF Full Text: DOI
Szczypkowski, Karol Regularity of fundamental solutions for Lévy-type operators. (English) Zbl 1536.35125 Bull. Pol. Acad. Sci., Math. 71, No. 2, 169-191 (2023). MSC: 35B65 35A08 60J35 47G20 47D03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gataullin, S. T.; Gataullin, T. M. To the problem of a point source in an inhomogeneous medium. (English. Russian original) Zbl 1535.35052 Math. Notes 114, No. 6, 1212-1216 (2023); translation from Mat. Zametki 114, No. 6, 822-826 (2023). MSC: 35J15 35A08 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Mikelashvili, Mariam Potential method in the quasi-static problems of the coupled linear theory of elastic materials with double porosity. (English) Zbl 1535.74063 Trans. A. Razmadze Math. Inst. 177, No. 3, 431-450 (2023). MSC: 74F10 74B05 74G22 74G30 76S05 35Q74 × Cite Format Result Cite Review PDF Full Text: Link
Li, Tong; Mathur, Nitesh Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow. (English) Zbl 1535.90045 Netw. Heterog. Media 18, No. 2, 581-600 (2023). MSC: 90B20 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Korzyuk, Viktor Ivanovich; Rud’ko, Yan Vyacheslavovich Classical solution of a problem for a system of equations from mechanics with nonsmooth Cauchy conditions. (Russian. English summary) Zbl 1533.35062 Vestsi Nats. Akad. Navuk Belarusi, Ser. Fiz.-Mat. Navuk 59, No. 1, 37-50 (2023). MSC: 35G45 35A08 35Q74 × Cite Format Result Cite Review PDF Full Text: Link
Lyakhov, L. N.; Sanina, E. L.; Roshchupkin, S. A.; Bulatov, Yu. N. Fundamental solution of a singular Bessel differential operator with a negative parameter. (English. Russian original) Zbl 1534.34035 Russ. Math. 67, No. 7, 43-54 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 7, 52-65 (2023). MSC: 34B16 34B30 34A05 33C10 44A15 34B08 × Cite Format Result Cite Review PDF Full Text: DOI
Juraev, Davron Aslonqulovich; Cavalcanti, Marcelo Moreira Cauchy problem for matrix factorizations of the Helmholtz equation in the space \(\mathbb{R}^m\). (English) Zbl 1549.35213 Bol. Soc. Parana. Mat. (3) 41, Paper No. 121, 12 p. (2023). MSC: 35J46 35J56 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Medyns’kyĭ, I. P.; Pasichnyk, G. S. Properties of the volume potential for one parabolic equation with growing lowest coefficients. (Ukrainian. English summary) Zbl 1549.35293 Bukovyn. Mat. Zh. 11, No. 2, 197-210 (2023). MSC: 35K70 35A08 35C15 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Dron’, V. S. On classical fundamental solution of the Cauchy problem for one class of ultra-parabolic equations of Kolmogorov type. (Ukrainian. English summary) Zbl 1549.35291 Bukovyn. Mat. Zh. 11, No. 2, 114-126 (2023). MSC: 35K70 35K15 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Baderko, E. A.; Semenov, K. V. Regular fundamental solution to parabolic equation with Dini continuous coefficients in many spatial variables. (English) Zbl 1532.35258 J. Math. Sci., New York 274, No. 4, 441-459 (2023). MSC: 35K15 35A08 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huyuan; Zheng, Yishan Qualitative properties for elliptic problems with CKN operators. (English) Zbl 1535.35089 Kyushu J. Math. 77, No. 2, 385-400 (2023). MSC: 35J70 35A08 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belevtsov, N. S.; Lukashchuk, S. Yu. Multipole expansion of the fundamental solution of a fractional degree of the Laplace operator. (English. Russian original) Zbl 1531.35349 J. Math. Sci., New York 275, No. 5, 548-555 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 26-33 (2020). MSC: 35R11 35A08 35J05 35J08 × Cite Format Result Cite Review PDF Full Text: DOI
Castillo, R. E.; Leiva, H. The heat equation with piecewise constant delay perturbation. (English) Zbl 1531.35147 Azerb. J. Math. 13, No. 2, 3-26 (2023). MSC: 35K05 35K08 35K20 35A25 34A25 × Cite Format Result Cite Review PDF Full Text: Link
Lyakhov, L. N.; Roshchupkin, S. A.; Yeletskikh, K. S. On the fundamental solution of a \(D_B \)-hyperbolic operator with a Bessel operator in time. (English) Zbl 1531.35013 Lobachevskii J. Math. 44, No. 8, 3467-3477 (2023). MSC: 35A08 35L25 × Cite Format Result Cite Review PDF Full Text: DOI
Alekseyeva, L. A.; Alipova, B. N. Stationary boundary problems of coupled thermoelasticity for a half-plane and their solution. (English. Russian original) Zbl 1536.74042 Mech. Solids 58, No. 5, 1509-1516 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 5, 89-97 (2023). MSC: 74F05 74B05 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bondarenko, A. Yu.; Likhoded, A. I.; Sidorov, V. V. Determination of dissipative characteristics for solving problems of dynamic loading of elastic structures using a modal approach. (English. Russian original) Zbl 1531.74027 Mech. Solids 58, No. 4, 1054-1062 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 4, 13-22 (2023). MSC: 74H45 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Paramonov, P. V.; Fedorovskiy, K. Yu. Explicit form of fundamental solutions to certain elliptic equations and associated \(B\)- and \(C\)-capacities. (English. Russian original) Zbl 1531.31012 Sb. Math. 214, No. 4, 550-566 (2023); translation from Mat. Sb. 214, No. 4, 114-131 (2023). MSC: 31B15 35J15 35J47 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kondo, Shintaro; Mori, Masaki; Sushida, Takamichi Spatiotemporal kernel of a three-component differential equation model with self-control mechanism in vision. (English) Zbl 1533.35009 J. Math. Imaging Vis. 65, No. 6, 894-914 (2023). Reviewer: Oscar Bustos (Córdoba) MSC: 35A08 35K08 35K57 44A35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Franceschini, Federico; Glaudo, Federico Expansion of the fundamental solution of a second-order elliptic operator with analytic coefficients. (English) Zbl 1532.35144 Proc. Lond. Math. Soc. (3) 127, No. 4, 1028-1056 (2023). MSC: 35J15 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pukal’s’kyĭ, I. D.; Luste, I. P. Optimal control problem for a \(2b\)-parabolic equation with an integral non-local condition. (Ukrainian. English summary) Zbl 1538.35406 Bukovyn. Mat. Zh. 11, No. 1, 106-114 (2023). MSC: 35Q93 35K35 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yijin; Mayfield, Jay; Luo, Songting Numerical solutions of the time-dependent Schrödinger equation with position-dependent effective mass. (English) Zbl 1535.65165 Numer. Methods Partial Differ. Equations 39, No. 4, 3222-3245 (2023). MSC: 65M22 65F10 65F25 65F55 65F60 65T50 65M80 41A58 35B40 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Pagliarani, Stefano; Lucertini, Giacomo; Pascucci, Andrea Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients. (English) Zbl 1528.35075 J. Evol. Equ. 23, No. 4, Paper No. 69, 37 p. (2023). MSC: 35K65 35B65 35A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhan, Huashui The fundamental solution and blow-up problem of an anisotropic parabolic equation. (English) Zbl 1527.35008 Bound. Value Probl. 2023, Paper No. 92, 19 p. (2023). MSC: 35A08 35B44 35K25 35K92 × Cite Format Result Cite Review PDF Full Text: DOI
Mikelashvili, M. Potential method in the coupled linear quasi-static theory of thermoelasticity for double porosity materials. (English) Zbl 1534.74016 Arch. Mech. 75, No. 5, 559-590 (2023). Reviewer: Song Jiang (Beijing) MSC: 74F05 74F10 74G22 74G30 76S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Abadias, Luciano; González-Camus, Jorge; Rueda, Silvia Time-step heat problem on the mesh: asymptotic behavior and decay rates. (English) Zbl 1527.39003 Forum Math. 35, No. 6, 1563-1582 (2023). MSC: 39A12 39A14 39A22 35K05 35K08 × Cite Format Result Cite Review PDF Full Text: DOI
Pavlačková, Martina; Taddei, Valentina The damped vibrating string equation on the positive half-line. (English) Zbl 1523.34063 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107497, 18 p. (2023). MSC: 34G25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Bae, Hyeong-Ohk; Jin, Bum Ja Asymptotic profile for the interaction of a rigid ball and an incompressible viscous fluid. (English) Zbl 1540.76035 J. Differ. Equations 376, 682-713 (2023). Reviewer: Deepak Kumar Srivastava (Lucknow) MSC: 76D07 76M45 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Auscher, Pascal; Egert, Moritz A universal variational framework for parabolic equations and systems. (English) Zbl 1526.35227 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 249, 59 p. (2023). MSC: 35K90 35A08 35K40 35K41 35K51 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Affili, Elisa; Kemppainen, Jukka T. Recurrence of the random process governed with the fractional Laplacian and the Caputo time derivative. (English) Zbl 1526.35281 “Bruno Pini” Mathematical Analysis Seminar 2022. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 1-14 (2023). MSC: 35R11 47G20 26A33 60J60 × Cite Format Result Cite Review PDF Full Text: Link
Lurie, S. A.; Volkov-Bogorodskiy, D. B.; Belov, P. A. On general representations of Papkovich-Neuber solutions in gradient elasticity. (English) Zbl 1525.74026 Lobachevskii J. Math. 44, No. 6, 2336-2351 (2023). MSC: 74B99 74E05 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Karachik, V. V. Representation of the Green’s function of the Dirichlet problem for the polyharmonic equation in the ball. (English. Russian original) Zbl 1525.35100 Differ. Equ. 59, No. 8, 1061-1074 (2023); translation from Differ. Uravn. 59, No. 8, 1057-1069 (2023). MSC: 35J40 31B30 35A08 × Cite Format Result Cite Review PDF Full Text: DOI
Mazhgikhova, Madina Gumarovna The Cauchy problem for the delay differential equation with Dzhrbashyan-Nersesyan fractional derivative. (Russian. English summary) Zbl 1538.34310 Vestn. KRAUNTS, Fiz.-Mat. Nauki 42, No. 1, 98-107 (2023). MSC: 34K37 33E12 26A33 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nishiguchi, Junya Mild solutions, variation of constants formula, and linearized stability for delay differential equations. (English) Zbl 1538.34247 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 32, 77 p. (2023). MSC: 34K05 34K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Svanadze, Maia M. Steady vibration problems in the coupled theory of viscoelasticity for materials with triple porosity. (English) Zbl 1525.74092 Trans. A. Razmadze Math. Inst. 177, No. 2, 289-302 (2023). MSC: 74H45 74D05 74F10 35Q74 × Cite Format Result Cite Review PDF Full Text: Link
Balandin, A. S. Exponential stability of autonomous differential equations of neutral type. II. (English. Russian original) Zbl 1541.34081 Russ. Math. 67, No. 4, 1-10 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 3-14 (2023). MSC: 34K06 34K20 34K40 34K32 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Balandin, A. S. Exponential stability of autonomous differential equations of neutral type. I. (English. Russian original) Zbl 1541.34080 Russ. Math. 67, No. 3, 9-22 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 12-28 (2023). MSC: 34K06 34K20 34K40 34K32 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Jin-Cheng; Kuo, Hung-Wen; Liang, Meng-Hao Green’s function for solving initial-boundary value problem of evolutionary partial differential equations. (English) Zbl 1522.35008 Int. J. Math. 34, No. 9, Article ID 2350049, 43 p. (2023). MSC: 35A08 35A22 35C05 35J08 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Hongxia; Kang, Xiaodong Approximate controllability for semilinear second-order neutral evolution equations with infinite delay. (English) Zbl 1521.93015 Int. J. Control 96, No. 9, 2329-2340 (2023). MSC: 93B05 93C23 93C10 93C43 × Cite Format Result Cite Review PDF Full Text: DOI