Convergence of the Successive Approximation Method in the Cauchy Problem for an Integro-Differential Equation with Quadratic Nonlinearity

DOI10.3103/S1055134419020032zbMath1438.65344OpenAlexW2947337769WikidataQ115223378 ScholiaQ115223378MaRDI QIDQ5230803

A. I. Shcherbakov, V. L. Vaskevich

Publication date: 28 August 2019

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134419020032

zbMATH Keywords

successive approximation methodCauchy problema priori estimatenonlinear integro-differential equationexistence theoremquadratic nonlinearity

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Approximate quadratures (41A55)

Related Items (2)

Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems ⋮ Problems on a semiaxis for an integro-differential equation with quadratic nonlinearity

Cites Work

• Wave turbulence.
• Wave Turbulence in Astrophysics
• Self-similar evolution of Alfven wave turbulence
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