A new approach to the investigation of evolution differential equations in Banach spaces

DOI10.1016/0362-546X(94)90096-5zbMath0818.34032arXivfunct-an/9312006OpenAlexW1992201097MaRDI QIDQ4322161

Ya. I. Al'ber

Publication date: 24 August 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9312006

zbMATH Keywords

stabilitymonotone operatorLyapunov functionalsBanach spacedifferential inequalitiesnonlinear evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20)

Related Items

Visco-penalization of the sum of two monotone operators ⋮ A continuous regularization method of the first order for nonlinear monotone equations ⋮ Iterative Methods for Fixed Points of Asymptotically Weakly Contractive Maps

Cites Work

• Parallelogram inequalities in Banach spaces and some properties of a dual mapping
• An incomplete Cauchy problem
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• On the convexification procedure for nonconvex and nonsmooth infinite dimensional optimization problems
• On the solution of nonlinear equations with monotone operators in a Banach space
• Asymptotic behavior of solutions of a nonlinear evolution equation
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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