Singular-perturbation method for nonlinear second-order evolution inclusions with Volterra operators

DOI10.1007/S11072-009-0057-5zbMath1277.34089OpenAlexW2024109055MaRDI QIDQ386541

N. V. Zadoyanchuk, Pavlo O. Kasyanov

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-009-0057-5

Mathematics Subject Classification ID

Set-valued operators (47H04) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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• Faedo-Galerkin method for nonlinear second-order evolution equations with Volterra operators
• Existence of solutions for second-order evolution inclusions
• An \(L_2\)-approach to second-order nonlinear functional evolutions involving \(m\)-accretive operators in Banach spaces.
• Optimal control of nonlinear second order evolution equations
• Second order nonlinear evolution inclusions. II: Structure of the solution set
• Integral representations of generalized axially symmetric potentials in a simply connected domain
• Topological methods in the theory of operator inclusions in Banach spaces. I

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