Existence of local solutions of quasilinear integrodifferential equations in banach spaces

DOI10.1080/00036810008840861zbMath1021.45012OpenAlexW2075397992WikidataQ58293231 ScholiaQ58293231MaRDI QIDQ2729491

Kôichi Uchiyama, Krishnan Balachandran

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840861

zbMATH Keywords

Banach spacescontraction principle\(C_0\)-semigroupBanach fixed point theoremquasilinear evolution equationquasilinear integrodifferential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (2)

Unnamed Item ⋮ On the existence and stability of solution of boundary value problem for fractional integro-differential equations with complex order

Cites Work

• Global solutions of abstract quasilinear parabolic equations
• Convergence of approximate solutions to quasi-linear evolution equations in Banach spaces
• Perturbations of M-accretive operators and quasi-linear evolution equations
• A class of second order quasilinear evolution equations
• Nonhomogeneous quasi-linear evolution equations in Banach spaces
• Convergence of difference approximations of quasilinear evolution equations
• Quasilinear integrodifferential equations in Banach spaces
• Abstract quasilinear integrodifferential equations of hyperbolic type
• Abstract quasilinear Volterra integrodifferential equations
• Regular solutions to quasilinear integrodifferential equations in banach spaces

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