Blow-up behavior of Hammerstein-type Volterra integral equations

DOI10.1216/JIE-2012-24-4-487zbMath1261.45003OpenAlexW2077996967MaRDI QIDQ1942917

Hermann Brunner, Zhanwen Yang

Publication date: 14 March 2013

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1362669519

zbMATH Keywords

blow-upcritical exponentVolterra integro-differential equationsHammerstein-type Volterra integral equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (14)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Growth rates of solutions of superlinear ordinary differential equations ⋮ On the martingale property in the rough Bergomi model ⋮ Blow-up solutions of nonlinear Volterra integro-differential equations ⋮ The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Delay-induced blow-up in a planar oscillation model ⋮ On a new class of integro-differential equations ⋮ Continuous and discrete one dimensional autonomous fractional ODEs ⋮ Osgood type condition for the Volterra integral equations with bounded and nonincreasing kernels ⋮ Moment explosions in the rough Heston model ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations ⋮ A note on blow-up solutions for a scalar differential equation with a discrete delay

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