Taneja, Komal; Deswal, Komal; Kumar, Devendra; Baleanu, Dumitru Novel numerical approach for time fractional equations with nonlocal condition. (English) Zbl 07807008 Numer. Algorithms 95, No. 3, 1413-1433 (2024). MSC: 65J15 34K37 35R11 35F16 65M06 PDFBibTeX XMLCite \textit{K. Taneja} et al., Numer. Algorithms 95, No. 3, 1413--1433 (2024; Zbl 07807008) Full Text: DOI
Wang, Ran; Zhang, Huai; Kang, Tong A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 07804042 Comput. Methods Appl. Math. 24, No. 1, 239-264 (2024). MSC: 35Q60 78A30 80A19 35A01 35A02 35B07 35D30 35A15 65M60 65M20 65N30 65M12 PDFBibTeX XMLCite \textit{R. Wang} et al., Comput. Methods Appl. Math. 24, No. 1, 239--264 (2024; Zbl 07804042) Full Text: DOI
Gladkov, Alexander Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition. (English) Zbl 07802690 Monatsh. Math. 203, No. 2, 357-372 (2024). MSC: 35B44 35K20 35K58 35K61 PDFBibTeX XMLCite \textit{A. Gladkov}, Monatsh. Math. 203, No. 2, 357--372 (2024; Zbl 07802690) Full Text: DOI arXiv
Thi Thu Huong Nguyen; Nhu Thang Nguyen; Anh Toan Pham Structural stability of autonomous semilinear nonlocal evolution equations and the related semi-dynamical systems. (English) Zbl 07787428 Vietnam J. Math. 52, No. 1, 89-106 (2024). MSC: 34G20 34A08 34A12 34B10 PDFBibTeX XMLCite \textit{Thi Thu Huong Nguyen} et al., Vietnam J. Math. 52, No. 1, 89--106 (2024; Zbl 07787428) Full Text: DOI
Oussaeif, Taki-Eddine; Benguesmia, Amal; Rezzoug, Imad Inverse coefficient super-linear problem for a time fractional parabolic equation under integral overdetermination conditions. (English) Zbl 07809573 Math. Montisnigri 58, 17-31 (2023). MSC: 35R30 35K61 35B45 PDFBibTeX XMLCite \textit{T.-E. Oussaeif} et al., Math. Montisnigri 58, 17--31 (2023; Zbl 07809573) Full Text: DOI
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 07779269 Bukovyn. Mat. Zh. 11, No. 1, 106-114 (2023). MSC: 35Q93 35K35 35K20 PDFBibTeX XMLCite \textit{I. D. Pukal's'kyĭ} and \textit{I. P. Luste}, Bukovyn. Mat. Zh. 11, No. 1, 106--114 (2023; Zbl 07779269) Full Text: DOI
Rasulov, M. S.; Elmurodov, A. N. A free boundary problem for a predator-prey system. (English) Zbl 1526.35338 Lobachevskii J. Math. 44, No. 7, 2898-2909 (2023). MSC: 35R35 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{M. S. Rasulov} and \textit{A. N. Elmurodov}, Lobachevskii J. Math. 44, No. 7, 2898--2909 (2023; Zbl 1526.35338) Full Text: DOI
Li, Chenkuan; Saadati, Reza; Eidinejad, Zahra Fixed point results for the fractional nonlinear problem with integral boundary condition. (English) Zbl 1522.34026 Mediterr. J. Math. 20, No. 6, Paper No. 298, 15 p. (2023). MSC: 34A08 34A12 34B10 PDFBibTeX XMLCite \textit{C. Li} et al., Mediterr. J. Math. 20, No. 6, Paper No. 298, 15 p. (2023; Zbl 1522.34026) Full Text: DOI
Yi, Su-Cheol; Fang, Zhong Bo Blow-up phenomena for a reaction-diffusion equation with nonlocal gradient terms. (English) Zbl 1522.35085 Taiwanese J. Math. 27, No. 4, 737-757 (2023). MSC: 35B40 35B44 35K20 35K58 PDFBibTeX XMLCite \textit{S.-C. Yi} and \textit{Z. B. Fang}, Taiwanese J. Math. 27, No. 4, 737--757 (2023; Zbl 1522.35085) Full Text: DOI Link
Durdiev, Durdimurod Kalandarovich; Zhumaev, Zhonibek Zhamolovich; Atoev, Dilshod Dilmurodovich Kernel determination problem in an integro-differential equation of parabolic type with nonlocal condition. (English) Zbl 1525.35243 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 33, No. 1, 90-102 (2023); correction ibid. 33, No. 2, 382-384 (2023). MSC: 35R30 35K20 35R09 45G15 PDFBibTeX XMLCite \textit{D. K. Durdiev} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 33, No. 1, 90--102 (2023; Zbl 1525.35243) Full Text: DOI MNR
Baranetskij, Ya. O.; Demkiv, I. I.; Solomko, A. V. Inverse problems of determining an unknown depending on time coefficient for a parabolic equation with involution and periodicity conditions. (English) Zbl 1520.35169 Carpathian Math. Publ. 15, No. 1, 5-19 (2023). MSC: 35R30 34K10 34K29 35K20 45D05 PDFBibTeX XMLCite \textit{Ya. O. Baranetskij} et al., Carpathian Math. Publ. 15, No. 1, 5--19 (2023; Zbl 1520.35169) Full Text: DOI
Boulaaras, Salah; Choucha, Abdelbaki; Ouchenane, Djamel; Abdalla, Mohamed; Muñoz Vazquez, Aldo Jonathan Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition. (English) Zbl 1518.35236 Discrete Contin. Dyn. Syst., Ser. S 16, No. 6, 1216-1241 (2023). MSC: 35G16 35A01 35A02 35R09 PDFBibTeX XMLCite \textit{S. Boulaaras} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 6, 1216--1241 (2023; Zbl 1518.35236) Full Text: DOI
Ndambomve, Patrice; Kpoumie, Moussa El-Khalil; Ezzinbi, Khalil Approximate controllability results in \(\alpha \)-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces. (English) Zbl 1521.93017 J. Appl. Anal. 29, No. 1, 127-142 (2023). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 93B05 93C20 35R10 45K05 93B28 47H10 47D06 PDFBibTeX XMLCite \textit{P. Ndambomve} et al., J. Appl. Anal. 29, No. 1, 127--142 (2023; Zbl 1521.93017) Full Text: DOI
Kozhanov, A. I. Nonlocal problems with generalized Samarskii-Ionkin condition for some classes of nonstationary differential equations. (English. Russian original) Zbl 1518.35431 Dokl. Math. 107, No. 1, 40-43 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 50-53 (2023). MSC: 35K20 35K70 PDFBibTeX XMLCite \textit{A. I. Kozhanov}, Dokl. Math. 107, No. 1, 40--43 (2023; Zbl 1518.35431); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 50--53 (2023) Full Text: DOI
Du, Yu; Zhang, Jiwei Numerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional case. (English) Zbl 07696974 J. Comput. Phys. 488, Article ID 112209, 20 p. (2023). MSC: 65Nxx 65Mxx 35Qxx PDFBibTeX XMLCite \textit{Y. Du} and \textit{J. Zhang}, J. Comput. Phys. 488, Article ID 112209, 20 p. (2023; Zbl 07696974) Full Text: DOI
Halder, Joydev; Tumuluri, Suman Kumar A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition. (English) Zbl 1524.65345 Comput. Appl. Math. 42, No. 2, Paper No. 84, 21 p. (2023). MSC: 65M06 65M12 92D25 35Q92 65D32 65N06 PDFBibTeX XMLCite \textit{J. Halder} and \textit{S. K. Tumuluri}, Comput. Appl. Math. 42, No. 2, Paper No. 84, 21 p. (2023; Zbl 1524.65345) Full Text: DOI arXiv
Abbatiello, Anna; Feireisl, Eduard The Oberbeck-Boussinesq system with non-local boundary conditions. (English) Zbl 1515.35179 Q. Appl. Math. 81, No. 2, 297-306 (2023). Reviewer: Pierre-Étienne Druet (Darmstadt) MSC: 35Q30 35Q35 45K05 35K61 35D30 35D35 35B65 35A01 35Q79 PDFBibTeX XMLCite \textit{A. Abbatiello} and \textit{E. Feireisl}, Q. Appl. Math. 81, No. 2, 297--306 (2023; Zbl 1515.35179) Full Text: DOI arXiv
Halder, Joydev; Tumuluri, Suman Kumar Numerical solution to a nonlinear McKendrick-von Foerster equation with diffusion. (English) Zbl 1507.65140 Numer. Algorithms 92, No. 2, 1007-1039 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65N06 35B40 35B50 35A01 35A02 35R09 92D25 35Q92 PDFBibTeX XMLCite \textit{J. Halder} and \textit{S. K. Tumuluri}, Numer. Algorithms 92, No. 2, 1007--1039 (2023; Zbl 1507.65140) Full Text: DOI
Bouacida, Ichrak; Kerboua, Mourad; Segni, Sami Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space. (English) Zbl 1510.93047 Evol. Equ. Control Theory 12, No. 1, 213-229 (2023). Reviewer: Dimplekumar Chalishajar (Lexington) MSC: 93B05 26A33 46E39 34A12 47H10 93C25 PDFBibTeX XMLCite \textit{I. Bouacida} et al., Evol. Equ. Control Theory 12, No. 1, 213--229 (2023; Zbl 1510.93047) Full Text: DOI
Shi, Kehan; Wen, Ying Nonlocal biharmonic evolution equations with Dirichlet and Navier boundary conditions. (English) Zbl 1504.45010 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 560-579 (2023). Reviewer: Anar Assanova (Almaty) MSC: 45K05 45M05 35G16 PDFBibTeX XMLCite \textit{K. Shi} and \textit{Y. Wen}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 560--579 (2023; Zbl 1504.45010) Full Text: DOI
Kozhanov, Aleksandr Ivanovich; Tarasova, Galina Ivanovna The Samarsky-Ionkin problem with integral perturbation for a pseudoparabolic equation. (Russian. English summary) Zbl 1509.35145 Izv. Irkutsk. Gos. Univ., Ser. Mat. 42, 59-74 (2022). MSC: 35K70 35K35 PDFBibTeX XMLCite \textit{A. I. Kozhanov} and \textit{G. I. Tarasova}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 42, 59--74 (2022; Zbl 1509.35145) Full Text: DOI Link
Lomov, I. S. Construction of a generalized solution of a mixed problem for the telegraph equation: sequential and axiomatic approaches. (English. Russian original) Zbl 1506.35038 Differ. Equ. 58, No. 11, 1468-1481 (2022); translation from Differ. Uravn. 58, No. 11, 1471-1483 (2022). MSC: 35C10 35L20 PDFBibTeX XMLCite \textit{I. S. Lomov}, Differ. Equ. 58, No. 11, 1468--1481 (2022; Zbl 1506.35038); translation from Differ. Uravn. 58, No. 11, 1471--1483 (2022) Full Text: DOI
Memou, Ameur; Latrous, Chahla; Berkane, Abdelhak; Denche, Mohamed On the solvability of a semilinear second order parabolic equation with integral condition. (English) Zbl 1504.35160 Bull. Math. Anal. Appl. 14, No. 1, 46-63 (2022). MSC: 35K20 35K58 35K67 PDFBibTeX XMLCite \textit{A. Memou} et al., Bull. Math. Anal. Appl. 14, No. 1, 46--63 (2022; Zbl 1504.35160) Full Text: Link
Pupalaigė, Kristina; Sapagovas, Mifodijus; Čiupaila, Regimantas Nonlinear elliptic equation with nonlocal integral boundary condition depending on two parameters. (English) Zbl 1498.65138 Math. Model. Anal. 27, No. 4, 610-628 (2022). MSC: 65M06 65M12 65N25 PDFBibTeX XMLCite \textit{K. Pupalaigė} et al., Math. Model. Anal. 27, No. 4, 610--628 (2022; Zbl 1498.65138) Full Text: DOI
Benzian, Mohammed Abdelhakim; Derhab, Mohammed; Messirdi, Bachir Existence results for a class of first-order fractional differential equations with advanced arguments and nonlocal initial conditions. (English) Zbl 1513.34299 Jordan J. Math. Stat. 15, No. 3B, 591-613 (2022). MSC: 34K37 34K10 34K07 47N20 PDFBibTeX XMLCite \textit{M. A. Benzian} et al., Jordan J. Math. Stat. 15, No. 3B, 591--613 (2022; Zbl 1513.34299)
Jo, Yong-Hyok; Ri, Myong-Hwan Application of Rothe’s method to a parabolic inverse problem with nonlocal boundary condition. (English) Zbl 07613013 Appl. Math., Praha 67, No. 5, 573-592 (2022). MSC: 65M20 35K58 35R30 PDFBibTeX XMLCite \textit{Y.-H. Jo} and \textit{M.-H. Ri}, Appl. Math., Praha 67, No. 5, 573--592 (2022; Zbl 07613013) Full Text: DOI
Beshtokova, Z. V. Finite-difference methods for solving a nonlocal boundary value problem for a multidimensional parabolic equation with boundary conditions of integral form. (Russian. English summary) Zbl 1500.65038 Dal’nevost. Mat. Zh. 22, No. 1, 3-27 (2022). MSC: 65M06 65M12 35B45 35A01 35A02 35K05 35K10 PDFBibTeX XMLCite \textit{Z. V. Beshtokova}, Dal'nevost. Mat. Zh. 22, No. 1, 3--27 (2022; Zbl 1500.65038) Full Text: DOI MNR
Sadybekov, Makhmud; Dildabek, Gulnar; Ivanova, Marina Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type. (English) Zbl 1498.35625 Bound. Value Probl. 2022, Paper No. 53, 24 p. (2022). MSC: 35R30 35K05 35K15 35R09 PDFBibTeX XMLCite \textit{M. Sadybekov} et al., Bound. Value Probl. 2022, Paper No. 53, 24 p. (2022; Zbl 1498.35625) Full Text: DOI
Azizbayov, Elvin I. Inverse coefficient identification problem for a hyperbolic equation with nonlocal integral condition. (English) Zbl 1496.35445 Turk. J. Math. 46, No. 4, 1243-1255 (2022). MSC: 35R30 35A09 35L20 35A01 35A02 PDFBibTeX XMLCite \textit{E. I. Azizbayov}, Turk. J. Math. 46, No. 4, 1243--1255 (2022; Zbl 1496.35445) Full Text: DOI
Labadla, A.; Chaoui, A. Discretization scheme of fractional parabolic equation with nonlocal coefficient and unknown flux on the Dirichlet boundary. (English) Zbl 07553749 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63-76 (2022). MSC: 65-XX 35D30 35R11 65M20 65M22 PDFBibTeX XMLCite \textit{A. Labadla} and \textit{A. Chaoui}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 1, 63--76 (2022; Zbl 07553749) Full Text: Link Link
Du, Yu; Zhang, Jiwei Perfectly matched layers for nonlocal Helmholtz equations. II: Multi-dimensional cases. (English) Zbl 07540346 J. Comput. Phys. 464, Article ID 111192, 20 p. (2022). MSC: 65Nxx 78Axx 65Mxx PDFBibTeX XMLCite \textit{Y. Du} and \textit{J. Zhang}, J. Comput. Phys. 464, Article ID 111192, 20 p. (2022; Zbl 07540346) Full Text: DOI arXiv
Aziz, Imran; Nisar, Muhammad; Siraj-ul-Islam On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet. (English) Zbl 1491.65109 Proc. Est. Acad. Sci. 71, No. 1, 30-54 (2022). MSC: 65M70 65M06 65T60 PDFBibTeX XMLCite \textit{I. Aziz} et al., Proc. Est. Acad. Sci. 71, No. 1, 30--54 (2022; Zbl 1491.65109) Full Text: DOI
Lu, Heqian; Hu, Bei; Zhang, Zhengce Blowup time estimates for the heat equation with a nonlocal boundary condition. (English) Zbl 1485.35074 Z. Angew. Math. Phys. 73, No. 2, Paper No. 60, 15 p. (2022). MSC: 35B44 35C15 35K05 35K60 PDFBibTeX XMLCite \textit{H. Lu} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 60, 15 p. (2022; Zbl 1485.35074) Full Text: DOI
Shcheglov, A. Yu. Uniqueness of the solution of the inverse problem for a model of the dynamics of an age-structured population. (English. Russian original) Zbl 1485.35427 Math. Notes 111, No. 1, 139-146 (2022); translation from Mat. Zametki 111, No. 1, 125-133 (2022). MSC: 35R30 35A02 35L04 65M32 92D25 PDFBibTeX XMLCite \textit{A. Yu. Shcheglov}, Math. Notes 111, No. 1, 139--146 (2022; Zbl 1485.35427); translation from Mat. Zametki 111, No. 1, 125--133 (2022) Full Text: DOI
Aida-zade, Kamil; Rahimov, Anar On recovering space or time-dependent source functions for a parabolic equation with nonlocal conditions. (English) Zbl 1510.35391 Appl. Math. Comput. 419, Article ID 126849, 17 p. (2022). MSC: 35R30 35K20 65L09 65M32 PDFBibTeX XMLCite \textit{K. Aida-zade} and \textit{A. Rahimov}, Appl. Math. Comput. 419, Article ID 126849, 17 p. (2022; Zbl 1510.35391) Full Text: DOI
Dmitriev, Viktor Borisovich Boundary value problem with a nonlocal boundary condition of integral form for a multidimensional equation of IV order. (Russian. English summary) Zbl 1494.35110 Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 15-28 (2021). MSC: 35L35 35A01 35A02 35B45 35L82 PDFBibTeX XMLCite \textit{V. B. Dmitriev}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 27, No. 1, 15--28 (2021; Zbl 1494.35110) Full Text: DOI MNR
Sudsutad, Weerawat; Thaiprayoon, Chatthai; Ntouyas, Sotiris K. Existence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions. (English) Zbl 1525.34032 AIMS Math. 6, No. 4, 4119-4141 (2021). MSC: 34A08 34A12 34B15 47N20 PDFBibTeX XMLCite \textit{W. Sudsutad} et al., AIMS Math. 6, No. 4, 4119--4141 (2021; Zbl 1525.34032) Full Text: DOI
Yang, He; Zhao, Yanxia Existence and optimal controls of non-autonomous impulsive integro-differential evolution equation with nonlocal conditions. (English) Zbl 1485.49014 Chaos Solitons Fractals 148, Article ID 111027, 9 p. (2021). MSC: 49J27 93C23 93C27 34K30 34K45 34K35 45J05 34A12 PDFBibTeX XMLCite \textit{H. Yang} and \textit{Y. Zhao}, Chaos Solitons Fractals 148, Article ID 111027, 9 p. (2021; Zbl 1485.49014) Full Text: DOI
Ji, Songsong; Pang, Gang; Antoine, Xavier; Zhang, Jiwei Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. (English) Zbl 07515465 J. Comput. Phys. 444, Article ID 110575, 17 p. (2021). MSC: 65Mxx 35Qxx 35Rxx PDFBibTeX XMLCite \textit{S. Ji} et al., J. Comput. Phys. 444, Article ID 110575, 17 p. (2021; Zbl 07515465) Full Text: DOI HAL
Yu, Yang-Yang; Wang, Rong-Nian; Vrabie, Ioan I. Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions. (English) Zbl 1492.34067 Topol. Methods Nonlinear Anal. 58, No. 1, 135-160 (2021). Reviewer: Marko Kostić (Novi Sad) MSC: 34G25 45D05 34A12 47N20 PDFBibTeX XMLCite \textit{Y.-Y. Yu} et al., Topol. Methods Nonlinear Anal. 58, No. 1, 135--160 (2021; Zbl 1492.34067) Full Text: DOI
Boulaaras, Salah Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory term and integral condition via Galerkin method. (English) Zbl 1482.35238 Fractals 29, No. 5, Article ID 2140021, 18 p. (2021). MSC: 35R09 35G16 35Q74 65M60 PDFBibTeX XMLCite \textit{S. Boulaaras}, Fractals 29, No. 5, Article ID 2140021, 18 p. (2021; Zbl 1482.35238) Full Text: DOI
Chang, Yong-Kui; Ponce, Rodrigo; Yang, Xu-Sheng Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators. (English) Zbl 1525.34018 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 1, 33-44 (2021). MSC: 34A08 34A60 34B10 34G10 47D06 PDFBibTeX XMLCite \textit{Y.-K. Chang} et al., Int. J. Nonlinear Sci. Numer. Simul. 22, No. 1, 33--44 (2021; Zbl 1525.34018) Full Text: DOI
Assanova, Anar T. On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition. (English) Zbl 1472.35099 Georgian Math. J. 28, No. 1, 49-57 (2021). MSC: 35G46 35K70 PDFBibTeX XMLCite \textit{A. T. Assanova}, Georgian Math. J. 28, No. 1, 49--57 (2021; Zbl 1472.35099) Full Text: DOI
Chen, Pengyu; Zhang, Xuping Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions. (English) Zbl 1471.34119 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4681-4695 (2021). MSC: 34G20 37C60 34B10 34F05 60H15 47N20 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 4681--4695 (2021; Zbl 1471.34119) Full Text: DOI
Yu, Yue; You, Huaiqian; Trask, Nathaniel An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. (English) Zbl 1506.74506 Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021). MSC: 74S99 65M70 74A70 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021; Zbl 1506.74506) Full Text: DOI arXiv
Ren, Huilong; Zhuang, Xiaoying; Trung, Nguyen-Thoi; Rabczuk, Timon Nonlocal operator method for the Cahn-Hilliard phase field model. (English) Zbl 1459.35011 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021). MSC: 35A35 35K35 35K58 65M12 PDFBibTeX XMLCite \textit{H. Ren} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021; Zbl 1459.35011) Full Text: DOI
Wang, Xueru; Zhu, Junyi; Qiao, Zhijun New solutions to the differential-difference KP equation. (English) Zbl 1458.35021 Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021). MSC: 35B06 35Q53 35R09 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021; Zbl 1458.35021) Full Text: DOI
Jin, Zhucheng; Yuan, Rong Hopf bifurcation in a reaction-diffusion-advection equation with nonlocal delay effect. (English) Zbl 1461.35033 J. Differ. Equations 271, 533-562 (2021). Reviewer: Alois Steindl (Wien) MSC: 35B32 35K57 37N25 35K20 PDFBibTeX XMLCite \textit{Z. Jin} and \textit{R. Yuan}, J. Differ. Equations 271, 533--562 (2021; Zbl 1461.35033) Full Text: DOI
Bishop, Sheila A.; Eke, Kanayo S.; Okagbue, Hilary I. Advances on asymptotic stability of impulsive stochastic evolution equations. (English) Zbl 1453.37053 Int. J. Math. Comput. Sci. 16, No. 1, 99-109 (2021). MSC: 37H30 37L55 47J35 47H10 PDFBibTeX XMLCite \textit{S. A. Bishop} et al., Int. J. Math. Comput. Sci. 16, No. 1, 99--109 (2021; Zbl 1453.37053) Full Text: Link
Iskenderov, N. Sh.; Allahverdiyeva, S. I. An inverse boundary value problem for the Boussinesq-Love equation with nonlocal integral condition. (English) Zbl 1495.35211 TWMS J. Pure Appl. Math. 11, No. 2, 226-237 (2020). MSC: 35R30 35L35 35A01 35A02 35A09 PDFBibTeX XMLCite \textit{N. Sh. Iskenderov} and \textit{S. I. Allahverdiyeva}, TWMS J. Pure Appl. Math. 11, No. 2, 226--237 (2020; Zbl 1495.35211) Full Text: Link
Koumla, Sylvain; Precup, Radu Integrodifferential evolution systems with nonlocal initial conditions. (English) Zbl 1513.34280 Stud. Univ. Babeș-Bolyai, Math. 65, No. 1, 93-108 (2020). MSC: 34K30 47N20 45J99 34K05 PDFBibTeX XMLCite \textit{S. Koumla} and \textit{R. Precup}, Stud. Univ. Babeș-Bolyai, Math. 65, No. 1, 93--108 (2020; Zbl 1513.34280) Full Text: DOI
Ouyang, Baiping; Lin, Yiwu; Liu, Yan; Cai, Zihan Lower bound for the blow-up time for a general nonlinear nonlocal porous medium equation under nonlinear boundary condition. (English) Zbl 1487.35126 Bound. Value Probl. 2020, Paper No. 76, 12 p. (2020). MSC: 35B44 35B40 35K59 35K61 35K65 35R09 PDFBibTeX XMLCite \textit{B. Ouyang} et al., Bound. Value Probl. 2020, Paper No. 76, 12 p. (2020; Zbl 1487.35126) Full Text: DOI
Barikbin, Z. A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method. (English) Zbl 1482.65179 Iran. J. Numer. Anal. Optim. 10, No. 1, 121-138 (2020). MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{Z. Barikbin}, Iran. J. Numer. Anal. Optim. 10, No. 1, 121--138 (2020; Zbl 1482.65179) Full Text: DOI
Tikare, Sanket; Tisdell, Christopher C. Nonlinear dynamic equations on time scales with impulses and nonlocal conditions. (English) Zbl 1499.34462 J. Class. Anal. 16, No. 2, 125-140 (2020). MSC: 34N05 34A37 34B10 34B37 47N20 PDFBibTeX XMLCite \textit{S. Tikare} and \textit{C. C. Tisdell}, J. Class. Anal. 16, No. 2, 125--140 (2020; Zbl 1499.34462) Full Text: DOI
O, KyuNam; Jong, KumSong; Pak, SunAe; Choi, HuiChol A new approach to approximate solutions for a class of nonlinear multi-term fractional differential equations with integral boundary conditions. (English) Zbl 1482.34032 Adv. Difference Equ. 2020, Paper No. 271, 16 p. (2020). MSC: 34A08 26A33 34B15 34B10 65L05 PDFBibTeX XMLCite \textit{K. O} et al., Adv. Difference Equ. 2020, Paper No. 271, 16 p. (2020; Zbl 1482.34032) Full Text: DOI
Čiupaila, Regimantas; Sapagovas, Mifodijus; Pupalaigė, Kristina M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition. (English) Zbl 1476.65168 Math. Model. Anal. 25, No. 2, 167-183 (2020). MSC: 65M06 65M12 65N25 PDFBibTeX XMLCite \textit{R. Čiupaila} et al., Math. Model. Anal. 25, No. 2, 167--183 (2020; Zbl 1476.65168) Full Text: DOI
Kumar, Devendra; Kumari, Parvin A parameter-uniform collocation scheme for singularly perturbed delay problems with integral boundary condition. (English) Zbl 07435120 J. Appl. Math. Comput. 63, No. 1-2, 813-828 (2020). MSC: 65-XX 35K20 65L10 65L11 65L70 65M12 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{P. Kumari}, J. Appl. Math. Comput. 63, No. 1--2, 813--828 (2020; Zbl 07435120) Full Text: DOI
Al-Shara, Safwan; Al-Omari, Ahmad Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces. (English) Zbl 1476.34013 Comput. Appl. Math. 39, No. 4, Paper No. 289, 17 p. (2020). MSC: 34A08 34N05 34A12 PDFBibTeX XMLCite \textit{S. Al-Shara} and \textit{A. Al-Omari}, Comput. Appl. Math. 39, No. 4, Paper No. 289, 17 p. (2020; Zbl 1476.34013) Full Text: DOI
Ettoussi, R.; Melliani, Said; Chadli, S. Nonlocal intuitionistic fuzzy differential equation. (English) Zbl 07392054 Castillo, Oscar (ed.) et al., Intuitionistic and type-2 fuzzy logic enhancements in neural and optimization algorithms: theory and applications. Cham: Springer. Stud. Comput. Intell. 862, 145-153 (2020). MSC: 68T37 34A07 03E72 PDFBibTeX XMLCite \textit{R. Ettoussi} et al., Stud. Comput. Intell. 862, 145--153 (2020; Zbl 07392054) Full Text: DOI
Hajishafieiha, J.; Abbasbandy, S. A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition. (English) Zbl 1475.65105 Inverse Probl. Sci. Eng. 28, No. 5, 739-753 (2020). MSC: 65M32 65M06 65M60 65D05 65K10 35C11 35K55 35R30 PDFBibTeX XMLCite \textit{J. Hajishafieiha} and \textit{S. Abbasbandy}, Inverse Probl. Sci. Eng. 28, No. 5, 739--753 (2020; Zbl 1475.65105) Full Text: DOI
Assanova, A. T.; Tokmurzin, Zh. S. Boundary value problem for system of pseudo-hyperbolic equations of the fourth order with nonlocal condition. (English. Russian original) Zbl 1465.35309 Russ. Math. 64, No. 9, 1-11 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 3-14 (2020). MSC: 35L82 35L57 35R09 PDFBibTeX XMLCite \textit{A. T. Assanova} and \textit{Zh. S. Tokmurzin}, Russ. Math. 64, No. 9, 1--11 (2020; Zbl 1465.35309); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 3--14 (2020) Full Text: DOI
Kopytko, B. I.; Novosyadlo, A. F. On a nonclassical problem for the heat equation and the Feller semigroup generated by it. (English) Zbl 1454.60123 Carpathian Math. Publ. 12, No. 2, 297-310 (2020). MSC: 60J60 35K20 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{A. F. Novosyadlo}, Carpathian Math. Publ. 12, No. 2, 297--310 (2020; Zbl 1454.60123) Full Text: DOI
Xu, Xiaoyong; Zhou, Fengying; Xu, Zhigang Chebyshev wavelet method for numerical solutions of wave equations under nonlocal conservation conditions. (Chinese. English summary) Zbl 1463.65443 Math. Pract. Theory 50, No. 9, 201-209 (2020). MSC: 65M70 65T60 PDFBibTeX XMLCite \textit{X. Xu} et al., Math. Pract. Theory 50, No. 9, 201--209 (2020; Zbl 1463.65443)
Boulaaras, Salah Mahmoud; Guefaifia, Rafik; Mezouar, Nadia; Alghamdi, Ahmad Mohammed Global existence and decay for a system of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms. (English) Zbl 1450.35168 J. Funct. Spaces 2020, Article ID 5085101, 15 p. (2020). MSC: 35L53 35L71 35R09 74D10 35B40 PDFBibTeX XMLCite \textit{S. M. Boulaaras} et al., J. Funct. Spaces 2020, Article ID 5085101, 15 p. (2020; Zbl 1450.35168) Full Text: DOI
Zikirov, O. S.; Kholikov, D. K. Solvability of a mixed problem with an integral condition for a third-order hyperbolic equation. (English. Russian original) Zbl 1448.35327 J. Math. Sci., New York 245, No. 3, 323-331 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 144, 30-38 (2018). MSC: 35L35 35M12 PDFBibTeX XMLCite \textit{O. S. Zikirov} and \textit{D. K. Kholikov}, J. Math. Sci., New York 245, No. 3, 323--331 (2020; Zbl 1448.35327); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 144, 30--38 (2018) Full Text: DOI
Krupa, Sam G.; Vasseur, Alexis F. Stability and uniqueness for piecewise smooth solutions to a nonlocal scalar conservation law with applications to Burgers-Hilbert equation. (English) Zbl 1453.35123 SIAM J. Math. Anal. 52, No. 3, 2491-2530 (2020). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L03 35L60 35L67 35D30 35B35 35B65 PDFBibTeX XMLCite \textit{S. G. Krupa} and \textit{A. F. Vasseur}, SIAM J. Math. Anal. 52, No. 3, 2491--2530 (2020; Zbl 1453.35123) Full Text: DOI arXiv
Liu, Bingchen; Zhang, Changcheng; Wei, Yu Blow-up profile of solutions in parabolic equations with nonlocal Dirichlet conditions. (English) Zbl 1447.35075 Bull. Iran. Math. Soc. 46, No. 5, 1437-1453 (2020). MSC: 35B44 35K51 35K58 35R09 35B33 35B40 PDFBibTeX XMLCite \textit{B. Liu} et al., Bull. Iran. Math. Soc. 46, No. 5, 1437--1453 (2020; Zbl 1447.35075) Full Text: DOI
Gladkov, Alexander; Kavitova, Tatiana Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition. (English) Zbl 1445.35084 Math. Methods Appl. Sci. 43, No. 8, 5464-5479 (2020). MSC: 35B44 35K20 35K61 PDFBibTeX XMLCite \textit{A. Gladkov} and \textit{T. Kavitova}, Math. Methods Appl. Sci. 43, No. 8, 5464--5479 (2020; Zbl 1445.35084) Full Text: DOI arXiv
Pal, Swadesh; Banerjee, Malay; Ghorai, S. Effects of boundary conditions on pattern formation in a nonlocal prey-predator model. (English) Zbl 1481.92111 Appl. Math. Modelling 79, 809-823 (2020). MSC: 92D25 35K51 35Q92 PDFBibTeX XMLCite \textit{S. Pal} et al., Appl. Math. Modelling 79, 809--823 (2020; Zbl 1481.92111) Full Text: DOI
Du, Qiang; Toniazzi, Lorenzo; Zhou, Zhi Stochastic representation of solution to nonlocal-in-time diffusion. (English) Zbl 1441.60060 Stochastic Processes Appl. 130, No. 4, 2058-2085 (2020). MSC: 60J60 60J55 60H30 60G52 PDFBibTeX XMLCite \textit{Q. Du} et al., Stochastic Processes Appl. 130, No. 4, 2058--2085 (2020; Zbl 1441.60060) Full Text: DOI arXiv
Aksoylu, Burak; Celiker, Fatih; Gazonas, George A. Higher order collocation methods for nonlocal problems and their asymptotic compatibility. (English) Zbl 1449.65355 Commun. Appl. Math. Comput. 2, No. 2, 261-303 (2020). MSC: 65R20 65M12 65M70 47G10 74A70 PDFBibTeX XMLCite \textit{B. Aksoylu} et al., Commun. Appl. Math. Comput. 2, No. 2, 261--303 (2020; Zbl 1449.65355) Full Text: DOI
Xiang, Qiao-Min; Zhu, Peng-Xian Approximate controllability of fractional delay evolution inclusions with noncompact semigroups. (English) Zbl 1434.93010 Optimization 69, No. 3, 553-574 (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 93B05 34G25 34K09 34K35 34K37 93B24 PDFBibTeX XMLCite \textit{Q.-M. Xiang} and \textit{P.-X. Zhu}, Optimization 69, No. 3, 553--574 (2020; Zbl 1434.93010) Full Text: DOI
Dosiyev, Adiguzel; Reis, Rifat A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace’s equation with integral boundary condition. (English) Zbl 1485.65113 Adv. Difference Equ. 2019, Paper No. 340, 15 p. (2019). MSC: 65N06 65N12 65M06 65N15 35J05 PDFBibTeX XMLCite \textit{A. Dosiyev} and \textit{R. Reis}, Adv. Difference Equ. 2019, Paper No. 340, 15 p. (2019; Zbl 1485.65113) Full Text: DOI
Shevchuk, R. V.; Savka, I. Ya.; Nytrebych, Z. M. The nonlocal boundary value problem for one-dimensional backward Kolmogorov equation and associated semigroup. (English) Zbl 1434.60220 Carpathian Math. Publ. 11, No. 2, 463-474 (2019). MSC: 60J60 35K20 PDFBibTeX XMLCite \textit{R. V. Shevchuk} et al., Carpathian Math. Publ. 11, No. 2, 463--474 (2019; Zbl 1434.60220) Full Text: DOI
Assanova, A. T. Solution of initial-boundary value problem for a system of partial differential equations of the third order. (English. Russian original) Zbl 1430.35060 Russ. Math. 63, No. 4, 12-22 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 4, 15-26 (2019). MSC: 35G46 PDFBibTeX XMLCite \textit{A. T. Assanova}, Russ. Math. 63, No. 4, 12--22 (2019; Zbl 1430.35060); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 4, 15--26 (2019) Full Text: DOI
Martín-Vaquero, Jesús; Sajavičius, Svajūnas The two-level finite difference schemes for the heat equation with nonlocal initial condition. (English) Zbl 1429.65191 Appl. Math. Comput. 342, 166-177 (2019). MSC: 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{S. Sajavičius}, Appl. Math. Comput. 342, 166--177 (2019; Zbl 1429.65191) Full Text: DOI
Liu, Xiaopei; Xu, Genqi Solvability of the nonlocal initial value problem and application to design of controller for heat-equation with delay. (English) Zbl 1438.35207 J. Math. Study 52, No. 2, 127-159 (2019). MSC: 35K05 93B51 93C20 93D15 PDFBibTeX XMLCite \textit{X. Liu} and \textit{G. Xu}, J. Math. Study 52, No. 2, 127--159 (2019; Zbl 1438.35207) Full Text: DOI
Zhang, Xuping; Chen, Pengyu; Li, Yongxiang Fractional retarded differential equations involving mixed nonlocal plus local initial conditions. (English) Zbl 1429.34083 Numer. Funct. Anal. Optim. 40, No. 14, 1678-1702 (2019). MSC: 34K37 34K30 47D06 47N20 35R11 PDFBibTeX XMLCite \textit{X. Zhang} et al., Numer. Funct. Anal. Optim. 40, No. 14, 1678--1702 (2019; Zbl 1429.34083) Full Text: DOI
Pei, Yatian; Chang, Yong-Kui Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls. (English) Zbl 1420.49012 Nonlinear Anal., Model. Control 24, No. 2, 189-209 (2019). MSC: 49J40 49J20 PDFBibTeX XMLCite \textit{Y. Pei} and \textit{Y.-K. Chang}, Nonlinear Anal., Model. Control 24, No. 2, 189--209 (2019; Zbl 1420.49012) Full Text: DOI
Boulaaras, Salah; Zaraï, Abderrahmane; Draifia, Alaeddin Galerkin method for nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation with integral condition. (English) Zbl 1418.35079 Math. Methods Appl. Sci. 42, No. 8, 2664-2679 (2019). MSC: 35G16 35D30 65M60 35A01 PDFBibTeX XMLCite \textit{S. Boulaaras} et al., Math. Methods Appl. Sci. 42, No. 8, 2664--2679 (2019; Zbl 1418.35079) Full Text: DOI
Wang, Yuxiang; Fang, Zhong Bo; Yi, Su-Cheol Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions. (English) Zbl 1414.35120 Appl. Anal. 98, No. 8, 1403-1414 (2019). MSC: 35K65 35B30 35B40 PDFBibTeX XMLCite \textit{Y. Wang} et al., Appl. Anal. 98, No. 8, 1403--1414 (2019; Zbl 1414.35120) Full Text: DOI
Pulkina, Ludmila S.; Beylin, Alexander B. Nonlocal approach to problems on longitudinal vibration in a short bar. (English) Zbl 1409.35135 Electron. J. Differ. Equ. 2019, Paper No. 29, 9 p. (2019). MSC: 35L35 PDFBibTeX XMLCite \textit{L. S. Pulkina} and \textit{A. B. Beylin}, Electron. J. Differ. Equ. 2019, Paper No. 29, 9 p. (2019; Zbl 1409.35135) Full Text: Link
Ding, Juntang; Kou, Wei Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions. (English) Zbl 1516.35245 J. Math. Anal. Appl. 470, No. 1, 1-15 (2019). MSC: 35K61 35B44 35K59 PDFBibTeX XMLCite \textit{J. Ding} and \textit{W. Kou}, J. Math. Anal. Appl. 470, No. 1, 1--15 (2019; Zbl 1516.35245) Full Text: DOI
Sadybekov, Makhmud; Oralsyn, Gulaiym; Ismailov, Mansur Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions. (English) Zbl 1499.35313 Filomat 32, No. 3, 809-814 (2018). MSC: 35K15 35P10 35R30 PDFBibTeX XMLCite \textit{M. Sadybekov} et al., Filomat 32, No. 3, 809--814 (2018; Zbl 1499.35313) Full Text: DOI
Assanova, Anar T.; Sabalakhova, Aigul P. On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations. (English) Zbl 1474.35231 Eurasian Math. J. 9, No. 3, 14-24 (2018). MSC: 35G45 35L50 PDFBibTeX XMLCite \textit{A. T. Assanova} and \textit{A. P. Sabalakhova}, Eurasian Math. J. 9, No. 3, 14--24 (2018; Zbl 1474.35231) Full Text: DOI MNR
Kirichenko, S. V. About one task with a nonlocal condition on time variable for the hyperbolic equation. (Russian. English summary) Zbl 1427.35155 Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 4, 24-28 (2018). MSC: 35L20 PDFBibTeX XMLCite \textit{S. V. Kirichenko}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 4, 24--28 (2018; Zbl 1427.35155) Full Text: DOI MNR
Cimen, Erkan; Cakir, Musa Convergence analysis of finite difference method for singularly perturbed nonlocal differential-difference problem. (English) Zbl 1438.65155 Miskolc Math. Notes 19, No. 2, 795-812 (2018). MSC: 65L11 34B10 34K10 65L12 65L20 PDFBibTeX XMLCite \textit{E. Cimen} and \textit{M. Cakir}, Miskolc Math. Notes 19, No. 2, 795--812 (2018; Zbl 1438.65155) Full Text: DOI
Cao, Junfei; Huang, Zaitang Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions. (English) Zbl 1411.35184 Open Math. 16, 792-805 (2018). MSC: 35K90 35B10 PDFBibTeX XMLCite \textit{J. Cao} and \textit{Z. Huang}, Open Math. 16, 792--805 (2018; Zbl 1411.35184) Full Text: DOI
Gamzaev, Kh. M.; Huseynzade, S. O.; Gasimov, G. G. A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation. (English. Russian original) Zbl 1411.65124 Cybern. Syst. Anal. 54, No. 6, 971-976 (2018); translation from Kibern. Sist. Anal. 2018, No. 6, 134-140 (2018). MSC: 65M32 65N21 35K57 PDFBibTeX XMLCite \textit{Kh. M. Gamzaev} et al., Cybern. Syst. Anal. 54, No. 6, 971--976 (2018; Zbl 1411.65124); translation from Kibern. Sist. Anal. 2018, No. 6, 134--140 (2018) Full Text: DOI
Yuldashev, T. K. Solvability of a boundary value problem for a differential equation of the Boussinesq type. (English. Russian original) Zbl 1411.35211 Differ. Equ. 54, No. 10, 1384-1393 (2018); translation from Differ. Uravn. 54, No. 10, 1411-1419 (2018). MSC: 35L82 35L35 PDFBibTeX XMLCite \textit{T. K. Yuldashev}, Differ. Equ. 54, No. 10, 1384--1393 (2018; Zbl 1411.35211); translation from Differ. Uravn. 54, No. 10, 1411--1419 (2018) Full Text: DOI
Jawahdou, Adel Existence results for second-order abstract differential equation with impulses. (English) Zbl 1410.34178 J. Adv. Math. Stud. 11, No. 3, 547-557 (2018). MSC: 34G20 47N20 34A37 34A12 PDFBibTeX XMLCite \textit{A. Jawahdou}, J. Adv. Math. Stud. 11, No. 3, 547--557 (2018; Zbl 1410.34178)
Cao, Junfei; Wu, Fengong; Zhu, Yingrun Existence of mild solutions for semilinear stochastic evolution equations with nonlocal initial conditions. (English) Zbl 1438.34214 Southeast Asian Bull. Math. 42, No. 3, 341-358 (2018). MSC: 34G20 34F05 34B10 47N20 47D03 PDFBibTeX XMLCite \textit{J. Cao} et al., Southeast Asian Bull. Math. 42, No. 3, 341--358 (2018; Zbl 1438.34214)
Gladkov, Aleksandr L’vovich; Kavitova, Tat’yana Valer’evna On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition. (Russian. English summary) Zbl 1442.35179 Zh. Beloruss. Gos. Univ., Mat., Inform. 2018, No. 1, 29-38 (2018); correction ibid. 2019, No. 1, 33-34 (2019). MSC: 35K20 PDFBibTeX XMLCite \textit{A. L. Gladkov} and \textit{T. V. Kavitova}, Zh. Beloruss. Gos. Univ., Mat., Inform. 2018, No. 1, 29--38 (2018; Zbl 1442.35179)
Bilal, Shamas; Cârjă, Ovidiu; Donchev, Tzanko; Javaid, Nasir; Lazu, Alina I. Nonlocal evolution inclusions under weak conditions. (English) Zbl 1458.34112 Adv. Difference Equ. 2018, Paper No. 399, 14 p. (2018). Reviewer: Dimitar A. Kolev (Sofia) MSC: 34G25 34B10 34C25 PDFBibTeX XMLCite \textit{S. Bilal} et al., Adv. Difference Equ. 2018, Paper No. 399, 14 p. (2018; Zbl 1458.34112) Full Text: DOI
Glushak, A. V. Uniquely solvable problems for abstract Legendre equation. (English. Russian original) Zbl 1405.34052 Russ. Math. 62, No. 7, 1-12 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 7, 3-15 (2018). Reviewer: Nikita V. Artamonov (Moskva) MSC: 34G10 34A12 34B10 34A05 PDFBibTeX XMLCite \textit{A. V. Glushak}, Russ. Math. 62, No. 7, 1--12 (2018; Zbl 1405.34052); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 7, 3--15 (2018) Full Text: DOI
Zarai, Abderrahmane; Draifia, Alaeddine; Boulaaras, Salah Blow-up of solutions for a system of nonlocal singular viscoelastic equations. (English) Zbl 1403.35060 Appl. Anal. 97, No. 13, 2231-2245 (2018). MSC: 35B44 35L35 35Q74 35L76 PDFBibTeX XMLCite \textit{A. Zarai} et al., Appl. Anal. 97, No. 13, 2231--2245 (2018; Zbl 1403.35060) Full Text: DOI
Zhang, Xuping; Li, Yongxiang Fractional retarded evolution equations with measure of noncompactness subjected to mixed nonlocal plus local initial conditions. (English) Zbl 1401.34085 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 1, 69-81 (2018). MSC: 34K30 34K37 47H08 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Y. Li}, Int. J. Nonlinear Sci. Numer. Simul. 19, No. 1, 69--81 (2018; Zbl 1401.34085) Full Text: DOI
Miller, P. D.; Smith, D. A. The diffusion equation with nonlocal data. (English) Zbl 1394.35233 J. Math. Anal. Appl. 466, No. 2, 1119-1143 (2018). MSC: 35K55 35B30 35K20 PDFBibTeX XMLCite \textit{P. D. Miller} and \textit{D. A. Smith}, J. Math. Anal. Appl. 466, No. 2, 1119--1143 (2018; Zbl 1394.35233) Full Text: DOI arXiv
Chen, Pengyu; Kong, Yibo; Li, Yongxiang Asymptotic stability of strong solutions for evolution equations with nonlocal initial conditions. (English) Zbl 1394.35258 Bull. Korean Math. Soc. 55, No. 1, 319-330 (2018). MSC: 35K90 35D35 47D06 47J35 PDFBibTeX XMLCite \textit{P. Chen} et al., Bull. Korean Math. Soc. 55, No. 1, 319--330 (2018; Zbl 1394.35258) Full Text: Link
Gladkov, A. L.; Nikitin, A. I. On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions. (English. Russian original) Zbl 1402.35156 Differ. Equ. 54, No. 1, 86-105 (2018); translation from Differ. Uravn. 54, No. 1, 88-107 (2018). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35K61 35K58 35K51 PDFBibTeX XMLCite \textit{A. L. Gladkov} and \textit{A. I. Nikitin}, Differ. Equ. 54, No. 1, 86--105 (2018; Zbl 1402.35156); translation from Differ. Uravn. 54, No. 1, 88--107 (2018) Full Text: DOI