A nonlinear Abel equation on the whole line

DOI10.1016/S0362-546X(99)00340-5zbMath0993.45006OpenAlexW1998071676MaRDI QIDQ5940134

Wojciech Mydlarczyk

Publication date: 18 September 2002

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/s0362-546x(99)00340-5

zbMATH Keywords

nonlinear Volterra integral equationblowing up solutionHilbert projective metrics methodnonlinear Abel equation

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05)

Related Items (5)

Recent results on blow-up and quenching for nonlinear Volterra equations ⋮ On the existence of continuous solutions for a singular system of non-linear fractional differential equations ⋮ Positive solutions to a nonlinear Abel-type integral equation on the whole line ⋮ The existence problem for a nonlinear Abel equation on the half-line ⋮ A sum operator method for the existence and uniqueness of positive solutions to a system of nonlinear fractional integral equations

Cites Work

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• A condition for finite blow-up time for a Volterra integral equation
• Volterra equations which model explosion in a diffusive medium
• Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel
• Ignition of a Combustible Half Space
• Ignition or nonignition of a combustible solid with marginal heating
• The existance of nontrival solutions of Volterra equations.
• Hilbert’s projective metric and iterated nonlinear maps
• On a class of Volterra and Fredholm non-linear integral equations

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