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Publication Metadata only Recent advances in analysis and applied mathematics and their applications(KARAGANDA STATE UNIV, 2024) Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Sadybekov, Makhmud; Bahcesehir University; Institute of Mathematics & Mathematical Modeling; Peoples Friendship University of Russia; Akhmet Yassawi International Kazakh-Turkish University; National University of UzbekistanPublication Metadata only Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem(SPRINGER HEIDELBERG, 2023) Ashyralyev, Allaberen; Al-Hazaimeh, Haitham; Ashyralyyev, Charyyar; Bahcesehir University; Institute of Mathematics & Mathematical Modeling; Near East University; National University of Uzbekistan; Akhmet Yassawi International Kazakh-Turkish UniversityIn the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification problem (SIP) for the telegraph equation (TE) is presented. The stability of difference problem is established. In applications of abstract results in a Hilbert space with a self-adjoint positive definite operator (SAPDO), theorems on stability estimates for the solution of DSs for approximate solutions of the multidimensional time-dependent SIPs for telegraph equations are obtained. Finally, these DSs are tested on stability in both two- and three-dimensional examples with different boundary conditions and some computational results are illustrated.Publication Metadata only On the stability of hyperbolic difference equations with unbounded delay term(SPRINGER INT PUBL AG, 2023) Ashyralyev, Allaberen; Vlasov, Victor V. V.; Ashyralyyev, Charyyar; Bahcesehir University; Peoples Friendship University of Russia; Institute of Mathematics & Mathematical Modeling; National University of UzbekistanThe paper studies the unconditionally stable difference scheme for the approximate solution of the hyperbolic differential equation with unbounded delay term { v(tt)(t) +A(2)v(t) = a(v(t)(t - w) +Av(t - w)) +f(t), t is an element of (0, infinity), v(t) = ?(t), t is an element of [-w, 0] in a Hilbert space H with a self-adjoint positive definite operator A. The main theorem on unconditionally stability estimates for the solutions of this problem are established. Numerical results and explanatory illustrations are presented show the validation of the theoretical results.Publication Metadata only Highly accurate difference schemes for time-nonlocal Schrodinger type problems(WILEY, 2023) Ashyralyev, Allaberen; Sirma, Ali; Ashyralyyev, Charyyar; Bahcesehir University; Peoples Friendship University of Russia; Institute of Mathematics & Mathematical Modeling; Halic University; National University of UzbekistanIn this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.Publication Metadata only On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition(Pleiades journals, 2022) Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Ashyralyyev, Charyyar, Department of Mathematical Engineering, Gümüşhane Üniversitesi, Gumushane, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanAbstract: In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented. © 2022 Elsevier B.V., All rights reserved.Publication Metadata only Numerical solution of the boundary value problems for the parabolic equation with involution, Инволюциялы параболалық теңдеу үшiн шеттiк есептердiң сандық шешiмi, Численное решение краевых задач для параболического уравнения с инволюцией(E.A. Buketov Karaganda University Publish house, 2023) Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Ahmed, Amer M.S.; Ashyralyev, Allaberen, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Ashyralyyev, Charyyar, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan; Ahmed, Amer M.S., Bahçeşehir Üniversitesi, Istanbul, TurkeyIn this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Highly accurate difference schemes for time-nonlocal Schrodinger type problems(John Wiley and Sons Inc, 2023) Ashyralyev, Allaberen; Sirma, Ali; Ashyralyyev, Charyyar; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Sirma, Ali, Department of Industrial Engineering, Haliç Üniversitesi, Istanbul, Turkey; Ashyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, Department of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanIn this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Preface: International Conference on Modern Problems of Applied Mathematics and Information Technology(American Institute of Physics Inc., 2023) Aripov, M. Mirsiddikovich; Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Erdogan, Abdullah Said; Hayotov, Abdullo Rakhmonovich; Kabulov, Anvar V.; Karimov, E. T.; Khudoyberdiyev, Abror Kh; Normatov, Ibrokhimali H.; Sharipov, Olimjon S.; Aripov, M.M.; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Kabulov, A.; Karimov, E.; Khudoyberdiyev, A.; Aripov, M. Mirsiddikovich, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan; Ashyralyev, Allaberen, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation; Ashyralyyev, Charyyar, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan, Bahçeşehir Üniversitesi, Istanbul, Turkey; Erdogan, Abdullah Said, Palm Beach State College, Palm Beach Gardens, United States; Hayotov, Abdullo Rakhmonovich, V.I. Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan; Kabulov, Anvar V., National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan; Karimov, E. T., Fergana State University, Fergana, Uzbekistan; Khudoyberdiyev, Abror Kh, V.I. Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan; Normatov, Ibrokhimali H., National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan; Sharipov, Olimjon S., National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan[No abstract available]Publication Metadata only On the stability of hyperbolic difference equations with unbounded delay term(Birkhauser, 2023) Ashyralyev, Allaberen; Vlasov, Victor V.; Ashyralyyev, Charyyar; Ashyralyev, Allaberen, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Vlasov, Victor V., Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation; Ashyralyyev, Charyyar, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanThe paper studies the unconditionally stable difference scheme for the approximate solution of the hyperbolic differential equation with unbounded delay term {vtt(t)+A2v(t)=a(vt(t-w)+Av(t-w))+f(t),t∈(0,∞),v(t)=φ(t),t∈[-w,0]in a Hilbert space H with a self-adjoint positive definite operator A. The main theorem on unconditionally stability estimates for the solutions of this problem are established. Numerical results and explanatory illustrations are presented show the validation of the theoretical results. © 2023 Elsevier B.V., All rights reserved.Publication Metadata only Well-Posedness of SI Problem for an Elliptic Equation in a Banach Space with Mixed Boundary Conditions(Pleiades Publishing, 2023) Ashyralyev, Allaberen; Ashyralyyev, Charyyar; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Ashyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanAbstract: In present study, we discuss the next source identification (SI) boundary value problem (BVP) for an elliptic equation (Formula Presented.) in an arbitrary Banach space E with a positive operator A . The exact inequalities for SI problem in several Hölder norms are established. Afterward, coercive stability inequalities for three multidimensional elliptic BVPs are established in apps. © 2023 Elsevier B.V., All rights reserved.