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

[41] On the perturbation of Volterra integro-differential equations
Jung, Soon-Mo
Sevgin, Sebaheddin
Sevli, Hamdullah
APPLIED MATHEMATICS LETTERS, 2013, 26 (07) : 665 - 669
[42] Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations
Chen, Luoping
Chen, Yanping
Huang, Yunqing
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (05) : 1676 - 1693
[43] The Volterra Theory of Integro-Differential Equations
Soldatov A.
Zaripov S.
Journal of Mathematical Sciences, 2023, 277 (3) : 467 - 475
[44] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
Bushnaq, Samia
Momani, Shaher
Zhou, Yong
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) : 96 - 105
[45] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
Samia Bushnaq
Shaher Momani
Yong Zhou
Journal of Optimization Theory and Applications, 2013, 156 : 96 - 105
[46] Convergence and stability of exponential integrators for semi-linear stochastic variable delay integro-differential equations
Yuan, Haiyan
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 98 (05) : 903 - 932
[47] Convergence and Stability of Exponential Integrators for Semi-Linear Stochastic Variable Delay Integro-Differential Equations
Yuan, Haiyan
International Journal of Computer Mathematics, 2020, : 1 - 32
[48] ADM For Solving Linear Second-Order Fredholm Integro-Differential Equations
Karim, Mohd F.
Mohamad, Mahathir
Rusiman, Mohd Saifullah
Che-Him, Norziha
Roslan, Rozaini
Khalid, Kamil
INTERNATIONAL SEMINAR ON MATHEMATICS AND PHYSICS IN SCIENCES AND TECHNOLOGY 2017 (ISMAP 2017), 2018, 995
[49] On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space
Vlasov, V. V.
Rautian, N. A.
DIFFERENTIAL EQUATIONS, 2013, 49 (06) : 718 - 730
[50] Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Kozhanov, Aleksandr I.
MATHEMATICS, 2020, 8 (04)

← 1 2 3 4 5 →