On semi-linear second order Volterra integro-differential equations in Hilbert space

被引：0

作者：

Hwang, Jin-soo ^{[1
]}

Nakagiri, Shin-ichi ^{[2
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Kobe Univ, Fac Engn, Dept Appl Math, Kobe, Hyogo 6578501, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 03期

关键词：

Volterra integro-differential equation; weak solution; energy equality; viscoelastic equation with long memory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence, uniqueness and regularity of weak solutions of semilinear second order Volterra integro-differential equations in Hilbert space are established by the variational method. As an application we give a well-posedness result for the semilinear viscoelastic equations with long memory.

引用

页码：679 / 701

页数：23

共 50 条

[21] On uniform asymptotic stability of nonlinear Volterra integro-differential equations
Ngoc, Pham Huu Anh
Hieu, Le Trung
INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (03) : 729 - 735
[22] Quasilinearization and Numerical Solution of Nonlinear Volterra Integro-differential Equations
Rasoulizadeh, M. N.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (04): : 542 - 553
[23] On generalized multistep collocation methods for Volterra integro-differential equations
Li, Haiyang
Ma, Junjie
MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 226 : 399 - 412
[24] Qualitative properties in nonlinear Volterra integro-differential equations with delay
Tunc, Cemil
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2017, 11 (02): : 309 - 314
[25] Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations
Tao, Xia
Xie, Ziqing
Zhou, Xiaojun
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2011, 4 (02) : 216 - 236
[26] Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
Jiang, Wei
Tian, Tian
APPLIED MATHEMATICAL MODELLING, 2015, 39 (16) : 4871 - 4876
[27] Chebyshev Collocation Methods for Volterra Integro-differential Equations of Pantograph Type
Ji, Tianfu
Hou, Jianhua
Yang, Changqing
ENGINEERING LETTERS, 2021, 29 (03) : 1123 - 1130
[28] A geometric numerical integration method for solving the Volterra integro-differential equations
Hashemi, M. S.
Darvishi, E.
Inc, M.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (08) : 1654 - 1665
[29] Multistep Runge-Kutta methods for Volterra integro-differential equations
Wen, Jiao
Huang, Chengming
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 436
[30] A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation
Yapman, Omer
Amiraliyev, Gabil M.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (06) : 1293 - 1302

← 1 2 3 4 5 →