Complete second order differential equations in Banach spaces with dynamic boundary conditions

被引：32

作者：

Xiao, TJ ^{[1
]}

Liang, J

机构：

[1] Univ Sci & Technol China, Dept Math, Anhua 230026, Peoples R China

[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 01期

基金：

中国国家自然科学基金;

关键词：

second order; differential equations in Banach spaces; mixed initial boundary value problem; dynamic boundary conditions; wellposedness; inhomogeneous; hyperbolic equations; Wentzell boundary conditions;

D O I：

10.1016/j.jde.2004.01.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with the mixed initial boundary value problem for complete second order (in time) linear differential equations in Banach spaces, in which time-derivatives occur in the boundary conditions. General wellposedness theorems are obtained (for the first time), which are used to solve the corresponding inhomogeneous problems. Examples of applications to initial boundary value problems for partial differential equations are also presented. (C) 2004 Published by Elsevier Inc.

引用

页码：105 / 136

页数：32

共 50 条

[1] Second order parabolic equations in Banach spaces with dynamic boundary conditions
Xiao, TJ
Liang, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (12) : 4787 - 4809
[2] Existence Results for Second Order Differential Equations with Nonlocal Conditions in Banach Spaces
Hernandez, Eduardo M.
Henriquez, Hernan R.
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2009, 52 (01): : 113 - 137
[3] Second Order Elliptic Differential-Operator Equations with Unbounded Operator Boundary Conditions in UMD Banach Spaces
Aliev, B. A.
Yakubov, Ya.
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 69 (02) : 269 - 300
[4] Second Order Elliptic Differential-Operator Equations with Unbounded Operator Boundary Conditions in UMD Banach Spaces
B. A. Aliev
Ya. Yakubov
Integral Equations and Operator Theory, 2011, 69 : 269 - 300
[5] Regular boundary value problems for complete second order elliptic differential-operator equations in UMD Banach spaces
Angelo Favini
Veli Shakhmurov
Yakov Yakubov
Semigroup Forum, 2009, 79 : 22 - 54
[6] Regular boundary value problems for complete second order elliptic differential-operator equations in UMD Banach spaces
Favini, Angelo
Shakhmurov, Veli
Yakubov, Yakov
SEMIGROUP FORUM, 2009, 79 (01) : 22 - 54
[7] Existence of solutions of second order nonlinear differential equations with nonlocal conditions in Banach spaces
Balachandran, K
Park, JY
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (12): : 1883 - 1891
[8] Periodic solutions of second order differential equations in Banach spaces
Valentin Keyantuo
Carlos Lizama
Mathematische Zeitschrift, 2006, 253 : 489 - 514
[9] Periodic solutions of second order differential equations in Banach spaces
Keyantuo, V
Lizama, C
MATHEMATISCHE ZEITSCHRIFT, 2006, 253 (03) : 489 - 514
[10] Boundary Value Problems for Second-order Integro-differential Equations in Banach Spaces
莫海平
郭林
NortheasternMathematicalJournal, 2002, (02) : 183 - 188

← 1 2 3 4 5 →