Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities

被引：117

作者：

Aizicovici, S ^{[1
]}

McKibben, M

Reich, S

机构：

[1] Ohio Univ, Dept Math, Athens, OH 45701 USA

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 02期

关键词：

anti-periodic solution; evolution equation; maximal monotone operator; discontinuous nonlinearity;

D O I：

10.1016/S0362-546X(99)00192-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized solutions for locally bounded, continuous, nonlinear equations were analyzed. The anti-periodic problems for nonlinear partial differential equations were analyzed by applying the sum of a nonmonotone operator and a superposition operator. First and second order integral equations were analyzed for nonlinearities by applying various boundary value conditions.

引用

页码：233 / 251

页数：19

共 25 条

[1]

Adams R. A., 1995, SOBOLEV SPACES

[2]

AIZICOVICI S, 1985, CR ACAD SCI I-MATH, V301, P829

[3]

Aizicovici S, 1999, DISCRET CONTIN DYN S, V5, P35

[4] ANTIPERIODIC SOLUTIONS TO A CLASS OF NONLINEAR DIFFERENTIAL-EQUATIONS IN HILBERT-SPACE [J].

AIZICOVICI, S ;

PAVEL, NH .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 99 (02) :387-408

[5]

Aizicovici S., 1992, DYNAM SYSTEMS APPL, V1, P121

[6]

AIZICOVICI S, 1980, AN ST U AL I CUZA LA, V26, P353

[7]

AUBIN JP, 1963, CR HEBD ACAD SCI, V256, P5042

[8] EXACT SOLUTION AND INTERFACIAL-TENSION OF THE 6-VERTEX MODEL WITH ANTIPERIODIC BOUNDARY-CONDITIONS [J].

BATCHELOR, MT ;

BAXTER, RJ ;

OROURKE, MJ ;

YUNG, CM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (10) :2759-2770

[9] THE ONSET AND END OF THE GUNN-EFFECT IN EXTRINSIC SEMICONDUCTORS [J].

BONILLA, LL ;

HIGUERA, FJ .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (06) :1625-1649

[10]

BREZIS H, 1971, CONTRIBUTIONS NONLIN, P101

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