Periodic solutions for nonlinear differential equations with maximal monotone terms
Abstract
We examine nonlinear periodic problems for scalar and vector differential equations involving a maximal monotone operator which is not necessarily defined everywhere. In the scalar case, the nonlinear differential operator depends on both x and x', linearly in x', while in the vector case the differential operator depends only on x' and is a generalization of the p-Laplacian. Our approach is based on the theory of operators of monotone type and on the Leray-Schauder principle.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1016/s0362-546x(02)00168-2
Keywords
periodic solutions, p-Laplacian, maximal monotone operators, pseudomonotone operator, yosida approximation, leray–schauder principle
Publication Date
2003
Recommended Citation
Hu, Shouchuan, and Nikolaos S. Papageorgiou. "Periodic solutions for nonlinear differential equations with maximal monotone terms." Nonlinear Analysis: Theory, Methods & Applications 52, no. 4 (2003): 1317-1330.
Journal Title
Nonlinear Analysis: Theory, Methods & Applications
