The existence problem for a nonlinear Abel equation on the half-line

DOI10.1016/J.NA.2010.05.031zbMath1204.45007OpenAlexW2093763568MaRDI QIDQ988851

Wojciech Mydlarczyk

Publication date: 19 August 2010

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.2010.05.031

zbMATH Keywords

positive solutionnonlinear Abel integral equationnonlinear integral Volterra equations

Mathematics Subject Classification ID

Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items (2)

Uniqueness of solutions to an Abel type nonlinear integral equation on the half line ⋮ Existence and stability of Stieltjes quadratic functional integral equations

Cites Work

• Unnamed Item
• A condition for finite blow-up time for a Volterra integral equation
• Volterra equations which model explosion in a diffusive medium
• Ignition of a Combustible Half Space
• Ignition or nonignition of a combustible solid with marginal heating
• The existance of nontrival solutions of Volterra equations.
• The blow-up solutions of integral equations
• A nonlinear Abel equation on the whole line
• Positive solutions to a nonlinear Abel-type integral equation on the whole line

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