Asymptotic properties of solutions to some nonlinear integral equations of convolution type

DOI10.1016/j.na.2007.07.056zbMath1151.45011OpenAlexW2053828964MaRDI QIDQ944782

Olivia Lipovan

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.056

zbMATH Keywords

nonnegative solutionnonlinear integral equationbounded solutionsasymptotic convergenceconvolution kernel

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Singular nonlinear integral equations (45G05)

Related Items (6)

Existence of solutions to some retarded integrodifferential equations via the topological transversality theorem ⋮ Positivity, monotonicity, and convexity for convolution operators ⋮ Monotonic solutions of a convolution functional-integral equation ⋮ Growth Rates of Sublinear Functional and Volterra Differential Equations ⋮ Monotone solutions to a nonlinear integral equation of convolution type ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case

Cites Work

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• The inverse problem of linear age-structured population dynamics.
• Monotone iterative technique for a nonlinear integral equation
• A retarded integral inequality and its applications.
• A retarded Gronwall-like inequality and its applications
• Integral inequalities for retarded Volterra equations
• On the linearization of Volterra integral equations
• On a nonlinear convolution equation occurring in the theory of water percolation
• Nontrivial Solutions to Nonlinear Volterra Integral Equations
• NONLINEAR VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS
• Growth rates for blow-up solutions of nonlinear Volterra equations
• Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity

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