On a new class of integro-differential equations

DOI10.1216/JIE-2014-26-4-497zbMath1307.45008MaRDI QIDQ489290

Patrick Kurth

Publication date: 20 January 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1420812883

zbMATH Keywords

integro-differential equationsconvolutionwell-posednessphase transitioninitial value problemasymptotic behaviournonlinear Volterra equationglass-transition

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (3)

New stability criteria for linear Volterra time-varying integro-differential equations ⋮ Stability of nonlinear Volterra equations and applications ⋮ Global existence and blow-ups for certain ordinary integro-differential equations

Cites Work

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• Well-posedness and asymptotics of some nonlinear integro-differential equations
• On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations
• General properties of certain nonlinear integro-differential equations
• Blow-up behavior of Hammerstein-type Volterra integral equations
• On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations
• On an asymptotic problem concerning the laplace transform
• On the Maximal Interval of Existence for Solutions to Some Non-Linear Volterra Integral Equations with Convolution Kernel
• Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations

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