On the asymptotic behavior of solutions of evolution equations associated with nonlinear Volterra equations

DOI10.1016/0362-546X(85)90002-1zbMath0581.47053OpenAlexW2023167109MaRDI QIDQ3702856

Nobuyuki Kato, Isao Miyadera, Kazuo Kobayasi

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90002-1

zbMATH Keywords

strong convergenceweak convergenceduality mappingsnonlinear Volterra equationsm-accretive operatorasymptotic behavior of solutions of functional differential equationsOptial's condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Other nonlinear integral equations (45G10)

Related Items (7)

On the asymptotic behavior of solutions of nonlinear Volterra equations ⋮ On the existence and asymptotic behavior of solutions of nonlinear heat flow with memory ⋮ Asymptotic properties of solutions of time-dependent Volterra integral equations ⋮ Qualitative properties of solutions of Volterra equations in Banach spaces ⋮ Unbounded behavior and convergence of solutions of nonlinear Volterra equations in Banach spaces ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Asymptotic behavior of solutions of nonlinear Volterra equations and mean points

Cites Work

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• Zeros of m-accretive operators in Banach spaces
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• Some geometric properties related to the fixed point theory for nonexpansive mappings
• On a nonlinear Volterra integral equation
• Ergodic theorems for non-linear Volterra equations in Hilbert space
• Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
• On the asymptotic behaviour of solutions of volterra equations in Hilbert space

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