Qazi, Rahim; Piranfar, Mohsen Rahimi; Khatibzadeh, Hadi On the convergence of solutions to an incomplete Cauchy problem governed by a quasi-convex function and a quasi-nonexpansive operator. (English) Zbl 07972494 J. Fixed Point Theory Appl. 27, No. 1, Paper No. 4, 21 p. (2025). MSC: 34G20 47J35 39A30 35B40 46N10 × Cite Format Result Cite Review PDF Full Text: DOI
Hernandez, Eduardo; Pandey, Shashank; Pandey, Dwijendra N. Abstract integro-differential equations with state-dependent integration intervals: existence, uniqueness, and local well-posedness. (English) Zbl 07964169 Math. Nachr. 298, No. 1, 356-384 (2025). MSC: 45H05 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Xianli; Feng, Xiufang A kind regularization method for solving Cauchy problem of the Schrödinger equation. (English) Zbl 07958791 J. Comput. Appl. Math. 457, Article ID 116206, 14 p. (2025). MSC: 65M32 65M30 65M38 65J20 65T50 65M12 65M15 35R30 35R25 35B45 35B65 35A01 35A02 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Budde, C.; Seifert, C. Perturbations of non-autonomous second-order abstract Cauchy problems. (English) Zbl 07966632 Anal. Math. 50, No. 3, 733-755 (2024). MSC: 47D09 47Dxx 34G10 47A55 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alshanti, Waseem; Hammad, Ma’mon Abu; Alshanty, Ahmad; Khalil, Roshdi Atomic solution for both ordinary and fractional abstract Cauchy problem in tensor product form. (English) Zbl 07960446 Gulf J. Math. 18, No. 1, 189-196 (2024). MSC: 34G10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Kuo, Chung-Cheng Local \(K\)-convoluted \(C\)-groups and abstract Cauchy problems. (English) Zbl 07959520 Kragujevac J. Math. 48, No. 5, 655-671 (2024). MSC: 47D60 47D62 × Cite Format Result Cite Review PDF Full Text: Link
Gorbachuk, V. M.; Spivak, Yu. V. On solvability and well-posedness of \((n+1)\)-times integrated Cauchy problem. (English) Zbl 07954131 Bukovyn. Mat. Zh. 12, No. 1, 7-13 (2024). MSC: 34G10 35K90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Jian, Wei-Gang; Ding, Hui-Sheng Tauberian theorems on \(\mathbb{R}^+\) and applications. (English) Zbl 07928594 Proc. Am. Math. Soc. 152, No. 11, 4745-4757 (2024). MSC: 43A60 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Benedetti, Irene; Malaguti, Luisa; Monteiro Marques, Manuel D. P. Differential equations with maximal monotone operators. (English) Zbl 07922136 J. Math. Anal. Appl. 539, No. 1, Part 2, Article ID 128484, 29 p. (2024). MSC: 47Hxx 34Gxx 34Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Jin; Wang, Shan-Shan; Liu, Zhuan-Xia Fast spectral solver for the inversion of boundary data problem of Poisson equation in a doubly connected domain. (English) Zbl 1543.65145 Math. Methods Appl. Sci. 47, No. 5, 3457-3468 (2024). MSC: 65M30 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Boudefla, Chahrazed; Sahraoui, Fatiha; Baghli-Bendimerad, Selma Controllability of mild solutions for second-order neutral evolution equations with state-dependent delay. (English) Zbl 07849474 Complex Anal. Oper. Theory 18, No. 4, Paper No. 80, 24 p. (2024). MSC: 34K35 34K30 34K40 47D09 47H10 93B05 34K43 × Cite Format Result Cite Review PDF Full Text: DOI
Hernandez, Eduardo; Lisboa, Lucas; Fernandes, Denis Abstract differential equations and \(L^{q, \alpha}\)-Hölder functions. (English) Zbl 1536.34057 Mediterr. J. Math. 21, No. 2, Paper No. 58, 24 p. (2024). MSC: 34G10 34G20 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Grau, Rogelio; Pereira, Aldo Representations of abstract resolvent families on time scales via Laplace transform. (English) Zbl 1537.34092 Fract. Calc. Appl. Anal. 27, No. 1, 218-246 (2024). MSC: 34N05 26A33 44A10 34A08 34G10 34K30 × 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
Wu, San-Xing; Wang, Zhi-Cheng; Ruan, Shigui Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting. (English) Zbl 1540.35416 J. Math. Biol. 88, No. 5, Paper No. 56, 74 p. (2024). MSC: 35Q92 92D25 65L03 37L10 35B32 35B10 35K90 35R01 35A01 35A02 34K18 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuting; Fan, Zhenbin Novel interpolation spaces and maximal-weighted Hölder regularity results for the fractional abstract Cauchy problem. (English) Zbl 1536.34056 Math. Nachr. 297, No. 2, 560-576 (2024). Reviewer: Marko Kostić (Novi Sad) MSC: 34G10 34A08 35B65 46B70 47A10 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Bucataru, Mihai; Marin, Liviu Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1535.65266 Numer. Algorithms 95, No. 2, 605-636 (2024). MSC: 65N21 65N20 65N30 65J20 80A23 80A19 35R30 35R25 35J25 80M10 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Glushak, Alexander On the solvability of initial problems for abstract singular equations containing fractional derivatives. (English) Zbl 07923360 Vasilyev, Vladimir (ed.), Differential equations, mathematical modeling and computational algorithms. DEMMCA 2021, Belgorod, Russia, October 25–29, 2021. Cham: Springer. Springer Proc. Math. Stat. 423, 17-33 (2023). MSC: 35R11 34G10 × Cite Format Result Cite Review PDF Full Text: DOI
Patel, Prakashkumar H.; Kataria, Haribhai; Shah, Vishant; Sharma, Jaita Existence results for the fractional order generalized Cauchy problem with non-instantneous impulses on Banach space. (Existnece results for the fractional order generalized Cauchy problem with non-instantneous impulses on Banach space.) (English) Zbl 1547.34107 Palest. J. Math. 12, No. 1, 254-264 (2023). MSC: 34K30 34K37 34K45 45J05 47H20 × Cite Format Result Cite Review PDF Full Text: Link
Pourhadi, Ehsan; Saadati, Reza; Nieto, Juan J. On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness. (English) Zbl 07819960 Fixed Point Theory 24, No. 1, 343-366 (2023). MSC: 34G20 47H10 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Makarov, V. L.; Mayko, N. V.; Ryabichev, V. L. Unimprovable convergence rate estimates of the Cayley transform method for the approximation of the operator exponent in the Hilbert space. (English. Ukrainian original) Zbl 1536.34058 Cybern. Syst. Anal. 59, No. 6, 943-948 (2023); translation from Kibern. Sist. Anal. 59, No. 6, 89-95 (2023). Reviewer: Gen Qi Xu (Tianjin) MSC: 34G10 34A12 34A25 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Jerroudi, Amine; Moussi, Mohammed Stability and local attractivity for non-autonomous boundary Cauchy problems. (English) Zbl 1549.35318 Bol. Soc. Parana. Mat. (3) 41, Paper No. 23, 12 p. (2023). MSC: 35L90 35L04 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Jaiswal, Anjali; Tyagi, Jagmohan Abstract neutral differential equations with state-dependent delay and almost sectorial operators. (English) Zbl 1531.35343 Math. Methods Appl. Sci. 46, No. 14, 15458-15480 (2023). MSC: 35R10 34K43 34K40 34K30 35K90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Horani, Mohammed Al; Favini, Angelo; Tanabe, Hiroki Some singular integro-differential equations. (English) Zbl 1531.45013 Funkc. Ekvacioj, Ser. Int. 66, No. 3, 195-228 (2023). MSC: 45J05 45G05 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yu; Cheng, Jin; Lu, Shuai; Yamamoto, Masahiro Harmonic measures and numerical computation of Cauchy problems for Laplace equations. (English) Zbl 1530.65149 Chin. Ann. Math., Ser. B 44, No. 6, 913-928 (2023). MSC: 65N21 65N20 65J05 65N15 35J05 35R25 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mesquita, Jaqueline G.; Pereira, Aldo; Ponce, Rodrigo Cosine and sine families on time scales and abstract second order dynamic equations on time scales. (English) Zbl 1538.34355 Math. Methods Appl. Sci. 46, No. 4, 3923-3936 (2023). MSC: 34N05 47D06 47D09 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
Tamayo Castro, Carlos Daniel Marcinkiewicz exponent and boundary value problems in fractal domains of \(\mathbb{R}^{n+1}\). (English) Zbl 1527.30034 Anal. Math. Phys. 13, No. 6, Paper No. 86, 21 p. (2023). MSC: 30G35 30G30 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldi, Pietro; Haus, Emanuele Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems. (English) Zbl 07752593 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 5, 1051-1091 (2023). MSC: 47J07 35B25 35Q55 35L52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fedorov, V. E.; Boyko, K. V. Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives. (English. Russian original) Zbl 1522.35553 Proc. Steklov Inst. Math. 321, Suppl. 1, S78-S89 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 248-259 (2023). MSC: 35R11 35G31 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
Vabishchevich, Petr N. Operator-difference schemes on non-uniform grids for second-order evolutionary equations. (English) Zbl 1522.65157 Russ. J. Numer. Anal. Math. Model. 38, No. 4, 267-277 (2023). MSC: 65M06 65L06 65M12 35R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Lixin; Zhang, Wen On a Cauchy problem in Banach spaces. (English) Zbl 1523.34062 Result. Math. 78, No. 5, Paper No. 172, 21 p. (2023). Reviewer: Erdoğan Şen (Tekirdağ) MSC: 34G20 34A12 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Aparicio, Rafael; Keyantuo, Valentin; Lizama, Carlos A characterization of uniform well posedness for degenerate second-order abstract differential equations. (English) Zbl 1522.34084 Result. Math. 78, No. 5, Paper No. 167, 17 p. (2023). Reviewer: Marko Kostić (Novi Sad) MSC: 34G10 34A09 47D09 47B38 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Manabu On existence and uniqueness of solutions for ordinary differential equations in locally convex topological linear spaces. (English) Zbl 1516.34025 Math. Slovaca 73, No. 3, 737-748 (2023). MSC: 34A12 46A03 45N05 35F55 47J25 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kokurin, M. M. Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space. (English. Russian original) Zbl 1542.47105 J. Math. Sci., New York 272, No. 6, 826-852 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 79-104 (2020). MSC: 47N40 35R11 65J08 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez, E.; Grau, R.; Meriño, R. \((\omega, c)\)-periodic solutions for a class of fractional integrodifferential equations. (English) Zbl 1518.35615 Bound. Value Probl. 2023, Paper No. 40, 16 p. (2023). MSC: 35R11 35K90 45K05 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Yong-Kui; Zhao, Jianguo Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces. (English) Zbl 07702455 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 581-598 (2023). MSC: 34K30 34K13 34K37 45J05 58D25 × Cite Format Result Cite Review PDF Full Text: DOI
Tadi, M.; Radenkovic, M. A unified solution method for linear elliptic Cauchy problems. (English) Zbl 1524.65738 Comput. Appl. Math. 42, No. 3, Paper No. 113, 20 p. (2023). MSC: 65N21 35J05 31A30 78A46 65K10 65J20 65N06 65N80 × Cite Format Result Cite Review PDF Full Text: DOI
Jaiswal, Anjali; Bahuguna, D. Hilfer fractional differential equations with almost sectorial operators. (English) Zbl 1519.34068 Differ. Equ. Dyn. Syst. 31, No. 2, 301-317 (2023). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34G20 34A08 26A33 34A12 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Chaouchi, Belkacem; Benaissa, Lakhdar; Kostić, Marko On abstract third-order differential equation and its applications. (English) Zbl 1544.34109 Acta Math. Sin., Engl. Ser. 39, No. 3, 399-411 (2023). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 34G10 47D09 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Zaborskii, A. V.; Nesterov, A. V. Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation with weak diffusion. (English. Russian original) Zbl 1512.35034 Comput. Math. Math. Phys. 63, No. 2, 241-249 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 2, 273-281 (2023). MSC: 35B25 35K90 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Santos, Lucas A.; Bezerra, Flank D. M. A well-posed logarithmic counterpart of an ill-posed Cauchy problem. (English) Zbl 1539.34054 Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 14, 13 p. (2023). MSC: 34G10 34A12 47D06 47D03 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez, E.; Díaz, S.; Grau, R. \((\omega, Q)\)-periodic mild solutions for a class of semilinear abstract differential equations and applications to Hopfield-type neural network model. (English) Zbl 1519.34031 Z. Angew. Math. Phys. 74, No. 2, Paper No. 60, 12 p. (2023). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34C25 34G20 92B20 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Dandan; Li, Yingke; Teng, Zhidong; Zhang, Tailei Stability and Hopf bifurcation in an age-structured SIR epidemic model with relapse. (English) Zbl 1508.37120 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1643-1672 (2023). MSC: 37N25 37G10 92D25 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Rogava, Jemal; Tsiklauri, Mikheil; Vashakidze, Zurab On stability and convergence of a three-layer semi-discrete scheme for an abstract analogue of the Ball integro-differential equation. (English) Zbl 1500.35212 J. Math. Anal. Appl. 518, No. 1, Article ID 126664, 25 p. (2023). MSC: 35L90 35R09 65M12 74K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Tongtong; Chu, Jixun Hopf bifurcation for a predator-prey model with age structure and ratio-dependent response function incorporating a prey refuge. (English) Zbl 1498.35032 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 408-425 (2023). MSC: 35B32 35B10 35B40 35F61 35L04 47D06 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yuting; Wang, Chuncheng; Fan, Dejun Bifurcation analysis of a size-structured population model. (English) Zbl 1539.92091 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 13, Article ID 2250189, 20 p. (2022). MSC: 92D25 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Horodnii, M. F. Linear differential equations of higher orders in a Banach space and the Vandermonde operator. (English) Zbl 1549.34184 Methods Funct. Anal. Topol. 28, No. 4, 295-301 (2022). MSC: 34G10 47D09 34C11 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Zagrebnov, Valentin A. Product approximations of solution operators for non-autonomous perturbations of Gibbs semigroups. (English) Zbl 1525.34091 Math. Nachr. 295, No. 6, 1233-1245 (2022). MSC: 34G10 34A12 37C60 47B10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández, Eduardo Existence and uniqueness of global solution for abstract second order differential equations with state-dependent delay. (English) Zbl 1527.34120 Math. Nachr. 295, No. 1, 124-139 (2022). Reviewer: Jiří Šremr (Brno) MSC: 34K30 34K43 34K25 35R10 47D09 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Gorodets’kyĭ, V. V.; Shevchuk, N. M.; Kolisnyk, R. S. Multipoint by time problem for a class of evolution equations in \(S\)-type space. (Ukrainian. English summary) Zbl 1538.35478 Bukovyn. Mat. Zh. 10, No. 2, 90-110 (2022). MSC: 35S10 37L05 47J35 26A33 35K90 × Cite Format Result Cite Review PDF Full Text: DOI
Gorbachuk, V. M. On solutions of the nonhomogeneous Cauchy problem for parabolic type differential equations in a Banach space. (English) Zbl 1524.35337 Bukovyn. Mat. Zh. 10, No. 2, 20-27 (2022). MSC: 35K90 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Glushak, A. V. The associated operator Legendre function and the incomplete Cauchy problem. (English. Russian original) Zbl 1525.47072 Russ. Math. 66, No. 9, 1-10 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 3-13 (2022). MSC: 47D06 34G10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Horodets’kyi, V. V.; Martynyuk, O. V.; Kolisnyk, R. S. On a nonlocal problem for the first-order differential-operator equations. (English) Zbl 1506.35003 Carpathian Math. Publ. 14, No. 2, 513-528 (2022). MSC: 35A08 35C10 47B39 × Cite Format Result Cite Review PDF Full Text: DOI
Uskov, Vladimir Igor’evich Solution of a second-order algebro-differential equation in a Banach space. (Russian. English summary) Zbl 1513.34230 Vestn. Ross. Univ., Mat. 27, No. 140, 375-385 (2022). MSC: 34G10 34A09 34A12 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Turov, Mikhail Mikhaĭlovich Quasilinear multi-term equations with Riemann-Liouville derivatives of arbitrary orders. (Russian. English summary) Zbl 1514.34025 Chelyabinskiĭ Fiz.-Mat. Zh. 7, No. 4, 434-446 (2022). MSC: 34A08 34A12 34G10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Dikhaminjia, Nana; Rogava, Jemal; Tsiklauri, Mikheil A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation. (English) Zbl 1505.65256 Georgian Math. J. 29, No. 6, 833-849 (2022). MSC: 65M55 65M12 65M15 65Y05 65J05 35L90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fedorov, V. E.; Turov, M. M. Sectorial tuples of operators and quasilinear fractional equations with multi-term linear part. (English) Zbl 1507.34006 Lobachevskii J. Math. 43, No. 6, 1502-1512 (2022). MSC: 34A08 34G20 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Glushak, A. V. On the solvability of initial problems for an abstract generalized Euler-Poisson-Darboux equation of higher order. (English) Zbl 1502.34069 Lobachevskii J. Math. 43, No. 6, 1313-1325 (2022). MSC: 34G10 × Cite Format Result Cite Review PDF Full Text: DOI
Boyko, K. V.; Fedorov, V. E. The Cauchy problem for a class of multi-term equations with Gerasimov-Caputo derivatives. (English) Zbl 1511.34068 Lobachevskii J. Math. 43, No. 6, 1293-1302 (2022). Reviewer: Arzu Ahmadova (Essen) MSC: 34G10 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiangming Dynamic behavior of an age-structured houseflies model with nonconstant fertility. (English) Zbl 1507.34057 Z. Angew. Math. Phys. 73, No. 6, Paper No. 233, 23 p. (2022). MSC: 34C60 34K60 34K20 34K18 34G20 34D20 34C23 34C05 35Q92 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Obukhovskii, Valeri; Zecca, Pietro; Afanasova, Maria On some boundary value problems for fractional feedback control systems. (English) Zbl 1506.34078 Differ. Equ. Dyn. Syst. 30, No. 4, 777-800 (2022). MSC: 34G25 34B10 34A08 34H05 47H08 34A09 47H11 49K27 93B52 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Kruse, Karsten The abstract Cauchy problem in locally convex spaces. (English) Zbl 1496.34028 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 155, 23 p. (2022). MSC: 34A12 47A10 46F15 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al Horani, Mohammed; Favini, Angelo; Tanabe, Hiroki Singular integro-differential equations with applications. (English) Zbl 1498.35559 Evol. Equ. Control Theory 11, No. 5, 1489-1518 (2022). MSC: 35R09 45J05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Tohru; Restrepo, Joel E.; Suragan, Durvudkhan Inverse abstract Cauchy problems. (English) Zbl 1522.35594 Appl. Anal. 101, No. 14, 4965-4969 (2022). MSC: 35R30 12H20 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Glushak, A. V. On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation. (English. Russian original) Zbl 1496.35156 Differ. Equ. 58, No. 5, 577-592 (2022); translation from Differ. Uravn. 58, No. 5, 575-590 (2022). MSC: 35C15 34G10 47D09 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Hongwu One regularization method for a Cauchy problem of semilinear elliptic equation. (Chinese. English summary) Zbl 1513.35255 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 45-57 (2022). MSC: 35J61 65J20 × Cite Format Result Cite Review PDF Full Text: Link
Bucataru, Mihai; Cîmpean, Iulian; Marin, Liviu A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction. (English) Zbl 1524.65707 Comput. Math. Appl. 119, 220-240 (2022). MSC: 65N06 35J20 35R30 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Kassabek, Samat A.; Suragan, Durvudkhan Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods. (English) Zbl 1513.80007 Comput. Appl. Math. 41, No. 4, Paper No. 189, 19 p. (2022). MSC: 80A22 80A23 35C11 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Laadj, Toufik; M’hamed-Messaoud, Khaled Steklov-Poincaré operator for a system of coupled abstract Cauchy problems. (English) Zbl 1494.35073 Differ. Equ. Dyn. Syst. 30, No. 3, 597-605 (2022). MSC: 35F40 34E05 35L90 35P25 47D06 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Haesung; Stannat, Wilhelm; Trutnau, Gerald Analytic theory of Itô-stochastic differential equations with non-smooth coefficients. (English) Zbl 1514.60003 SpringerBriefs in Probability and Mathematical Statistics. Singapore: Springer (ISBN 978-981-19-3830-6/pbk; 978-981-19-3831-3/ebook). xv, 126 p. (2022). Reviewer: Anna Karczewska (Zielona Gora) MSC: 60-02 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Uskov, V. I. Solution of the mixed problem for a third-order partial differential equation. (English. Russian original) Zbl 1494.35075 Math. Notes 111, No. 6, 932-939 (2022); translation from Mat. Zametki 111, No. 6, 895-903 (2022). MSC: 35G16 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Vabishchevich, Petr N. Splitting schemes for some second order evolutionary equations. (English) Zbl 1499.65199 Int. J. Numer. Anal. Model. 19, No. 1, 19-32 (2022). MSC: 65J08 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Rong-Nian; Ma, Zhong-Xin; Miranville, Alain Topological structure of the solution sets for a nonlinear delay evolution. (English) Zbl 1496.34101 Int. Math. Res. Not. 2022, No. 7, 4801-4889 (2022). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K09 34K30 34K05 × Cite Format Result Cite Review PDF Full Text: DOI
Stachura, Eric Acoustic wave propagation in anisotropic media with applications to piezoelectric materials. (English) Zbl 1525.35203 Appl. Anal. 101, No. 3, 994-1010 (2022). MSC: 35Q35 35Q74 76Q05 76N10 76T10 74F15 74E10 74B05 35B30 35A01 35A02 35L90 35L53 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Huan Gaussian bounds of fundamental matrix and maximal \(L^1\) regularity for Lamé system with rough coefficients. (English) Zbl 1485.35096 J. Evol. Equ. 22, No. 1, Paper No. 1, 30 p. (2022). MSC: 35B65 35K08 35Q35 47D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karimov, Erkinjon; Ruzhansky, Michael; Tokmagambetov, Niyaz Cauchy type problems for fractional differential equations. (English) Zbl 1490.34067 Integral Transforms Spec. Funct. 33, No. 1, 47-64 (2022). MSC: 34G20 34A08 34A12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guswanto, Bambang Hendriya Nonlocal reaction-diffusion model with subdiffusive kinetics. (English) Zbl 1513.35316 J. Fract. Calc. Appl. 13, No. 1, 198-211 (2022). MSC: 35K57 34A08 34G10 34G20 × Cite Format Result Cite Review PDF Full Text: Link
Borachok, Ihor; Chapko, Roman; Johansson, B. Tomas A method of fundamental solutions for heat and wave propagation from lateral Cauchy data. (English) Zbl 07456983 Numer. Algorithms 89, No. 1, 431-449 (2022). MSC: 65M32 65M30 65M80 65J20 33C45 80A21 78A40 35R30 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Arijit; Das, Nilima; Saha, Jitraj An application of semigroup theory to the coagulation-fragmentation models. (English) Zbl 1496.35165 Turk. J. Math. 45, No. 5, 2282-2294 (2021). MSC: 35F25 47D06 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kuo, Chung-Cheng; Yeh, Nai-Sher Multiplicative perturbations of local \(C\)-cosine functions. (English) Zbl 07577443 Stud. Univ. Babeș-Bolyai, Math. 66, No. 3, 575-589 (2021). MSC: 47D09 47D60 47D62 × Cite Format Result Cite Review PDF Full Text: DOI
Uskov, Vladimir Igoevich Solving a second-order algebro-differential equation with respect to the derivative. (Russian. English summary) Zbl 1513.34229 Vestn. Ross. Univ., Mat. 26, No. 136, 414-420 (2021). MSC: 34G10 34A09 34C20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bak, S. M.; Kovtonyuk, G. M. Well-posedness of the Cauchy problem for system of oscillators on 2D-lattice in weighted \(L^2\)-spaces. (English) Zbl 1484.34053 Mat. Stud. 56, No. 2, 176-184 (2021). MSC: 34A12 34C15 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
Visintin, Augusto \( \Gamma \)-stability of maximal monotone processes. (English) Zbl 1485.35279 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 627-647 (2021). MSC: 35K90 35K59 35K20 47H05 49J40 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Rabhi, Lahcene; Al Horani, Mohammed; Khalil, Roshdi Inhomogeneous conformable abstract Cauchy problem. (English) Zbl 1481.34079 Open Math. 19, 690-705 (2021). MSC: 34G10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Kokurin, Mikhail M. A posteriori choice of time-discretization step in finite difference methods for solving ill-posed Cauchy problems in Hilbert space. (English) Zbl 1480.65136 J. Inverse Ill-Posed Probl. 29, No. 6, 935-943 (2021). MSC: 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Zadorozhniy, V. G.; Konovalova, M. A. Differential equations in Banach spaces multiplicatively perturbed by random noise. (English. Russian original) Zbl 1491.34073 J. Math. Sci., New York 259, No. 6, 817-832 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 599-614 (2017). MSC: 34G10 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Kazashi, Yoshihito; Nobile, Fabio Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. (English) Zbl 1480.35414 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 3, 603-629 (2021). MSC: 35R60 81Q05 15A23 65M75 65C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutkiewicz, Aldona; Zima, Mirosława Successive approximations for a differential equation in a Banach space via Constantin condition. (English) Zbl 1495.34083 Math. Slovaca 71, No. 1, 105-116 (2021). Reviewer: Saurabh Tomar (Kharagpur) MSC: 34G20 34A12 47H08 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Magal, Pierre; Seydi, Ousmane Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems. (English) Zbl 1496.34096 Can. J. Math. 73, No. 5, 1347-1389 (2021). Reviewer: Nikita V. Artamonov (Moskva) MSC: 34G10 34A12 34D09 47D06 35A01 37C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ellabib, Abdellatif; Nachaoui, Abdeljalil; Ousaadane, Abdessamad Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity. (English) Zbl 1540.74013 Math. Comput. Simul. 187, 231-247 (2021). MSC: 74B05 47H11 54H25 65J15 65J22 × Cite Format Result Cite Review PDF Full Text: DOI
Rautian, N. A. On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals. (English. Russian original) Zbl 1479.45003 Differ. Equ. 57, No. 9, 1231-1248 (2021); translation from Differ. Uravn. 57, No. 9, 1255-1272 (2021). Reviewer: Gustaf Gripenberg (Aalto) MSC: 45N05 45D05 45K05 26A42 × Cite Format Result Cite Review PDF Full Text: DOI
Coayla-Teran, Edson A.; Raposo, Carlos A. Abstract wave equation with monotone operator damping in Banach spaces. (English) Zbl 1476.35145 Result. Math. 76, No. 4, Paper No. 206, 23 p. (2021). MSC: 35L90 35L71 74G22 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, Yalchin; Vabishchevich, Petr N. Splitting methods for solution decomposition in nonstationary problems. (English) Zbl 1508.65101 Appl. Math. Comput. 397, Article ID 125785, 11 p. (2021). MSC: 65M06 65J08 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sakbaev, V. Zh.; Zavadsky, D. V. Analogs of the Lebesgue measure and diffusion in a Hilbert space. (English) Zbl 1480.46058 Int. J. Theor. Phys. 60, No. 2, 617-629 (2021). MSC: 46G12 28C20 47A58 × Cite Format Result Cite Review PDF Full Text: DOI
Fedorov, V. E.; Turov, M. M. The defect of a Cauchy type problem for linear equations with several Riemann-Liouville derivatives. (English. Russian original) Zbl 1512.34106 Sib. Math. J. 62, No. 5, 925-942 (2021); translation from Sib. Mat. Zh. 62, No. 5, 1143-1162 (2021). MSC: 34G10 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Kamenskii, M.; Kornev, S.; Obukhovskii, V.; Wong, N. C. On bounded solutions of semilinear fractional order differential inclusions in Hilbert spaces. (English) Zbl 1517.47095 J. Nonlinear Var. Anal. 5, No. 2, 251-265 (2021). MSC: 47J22 34G20 34A60 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Uskov, V. I. Asymptotic solution of the Cauchy problem for a first-order differential equation with a small parameter in a Banach space. (English. Russian original) Zbl 1472.34115 Math. Notes 110, No. 1, 145-151 (2021); translation from Mat. Zametki 110, No. 1, 143-150 (2021). MSC: 34G10 34E15 34A12 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ekeland, Ivar; Séré, Éric A surjection theorem for maps with singular perturbation and loss of derivatives. (English) Zbl 1545.47121 J. Eur. Math. Soc. (JEMS) 23, No. 10, 3323-3349 (2021). Reviewer: Jürgen Appell (Würzburg) MSC: 47J07 47J25 35B25 35G25 35Q55 58C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fedorov, Vladimir E.; Avilovich, Anna S. Semilinear fractional-order evolution equations of Sobolev type in the sectorial case. (English) Zbl 1472.34117 Complex Var. Elliptic Equ. 66, No. 6-7, 1108-1121 (2021). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34G20 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Xuming Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell. (English) Zbl 1471.35243 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4663-4680 (2021). MSC: 35Q35 35Q15 76D27 35A10 35B65 35A01 35R35 × Cite Format Result Cite Review PDF Full Text: DOI