Blow-up conditions for nonlinear Volterra integral equations with power nonlinearity
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Publication:958902
DOI10.1016/J.AML.2007.03.020zbMath1177.45002OpenAlexW2071291203MaRDI QIDQ958902
Wojciech Okrasiński, Tomasz Małolepszy
Publication date: 10 December 2008
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2007.03.020
Related Items (8)
Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Growth rates of solutions of superlinear ordinary differential equations ⋮ Nonlinear Volterra integral equations and the Schröder functional equation ⋮ Blow-up behavior of Hammerstein-type Volterra integral equations ⋮ Blow-up time for solutions to some nonlinear Volterra integral equations ⋮ Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
Cites Work
- Conditions for blow-up of solutions of some nonlinear Volterra integral equations
- Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel
- Analysis of explosion for nonlinear Volterra equations
- Volterra equations which model explosion in a diffusive medium
- A Volterra inequality with the power type nonlinear kernel
- Coupled Volterra equations with blow-up solutions
- The existance of nontrival solutions of Volterra equations.
- Unique solutions of some Voltera integral equations.
- Nontrivial Solutions to Nonlinear Volterra Integral Equations
- Nonlinear Volterra Integral Equations and the Apéry Identities
- Remarks on a nonlinear Volterra equation
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