Pseudo almost periodic weak solutions of a semilinear elliptic equation

被引:0
作者
Ji, Desheng [1 ]
Zhang, Chuanyi [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
关键词
almost periodicity; pseudo almost periodicity; semilinear elliptic equation; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I
10.1186/1687-1847-2014-46
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, pseudo almost periodic functions on , with N an integer larger than 1, are introduced and some basic properties of them are studied. As an application, we investigate the pseudo almost periodicity of a weak solution of the semilinear elliptic equation . In addition, a pseudo almost periodic forced pendulum equation is considered as an example. MSC: 35B15, 35J61.
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页数:14
相关论文
共 17 条
[1]   Abstract periodic functions [J].
Bochner, S .
ACTA MATHEMATICA, 1933, 61 (01) :149-184
[2]   Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations [J].
Cieutat, Philippe ;
Fatajou, Samir ;
N'Guerekata, Gaston M. .
APPLICABLE ANALYSIS, 2010, 89 (01) :11-27
[3]   EXISTENCE OF POSITIVE PSEUDO ALMOST-PERIODIC SOLUTION FOR A CLASS OF FUNCTIONAL-EQUATIONS ARISING IN EPIDEMIC PROBLEMS [J].
DADS, EA ;
EZZINBI, K .
CYBERNETICS AND SYSTEMS ANALYSIS, 1994, 30 (06) :900-910
[4]  
Diagana T, 2007, PSEUDO ALMOST PERIOD
[5]   Semilinear elliptic equations in R(N) with almost periodic or unbounded forcing term [J].
Fournier, G ;
Szulkin, A ;
Willem, M .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (06) :1653-1660
[6]   Composition of pseudo almost-periodic functions and semilinear differential equations [J].
Li, HX ;
Haung, FL ;
Li, JY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) :436-446
[7]  
N'Guerekata GM, 2013, OPERATOR THEORY ADV, V228, P275
[8]  
Pankov A, 1990, BOUNDED ALMOST PERIO
[9]   ALMOST PERIODIC-SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].
SELL, GR .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 42 (02) :302-312
[10]  
Shubin M. A., 1978, RUSS MATH SURV, V33, P1, DOI [DOI 10.1070/RM1978V033N02ABEH002303, 10.1070/RM1978v033n02ABEH002303]