Iteration method of approximate solution of the Cauchy problem for a singularly perturbed weakly nonlinear differential equation of an arbitrary order
DOI10.3906/mat-1807-40zbMath1424.34062OpenAlexW2894163903WikidataQ115219433 ScholiaQ115219433MaRDI QIDQ5742850
Evgeny E. Bukhzhalev, Alexey R. Alimov
Publication date: 8 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f39d3a30bdb7a581027057fdc1f8745d4d186366
singular perturbationsBanach contraction principleRouth-Hurwitz stability criterionmethod of asymptotic iterations
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Singular perturbations for ordinary differential equations (34E15)
Cites Work
- Small parameter method in multidimensional inverse problems
- On one method for the analysis of the Cauchy problem for a singularly perturbed inhomogeneous second-order linear differential equation
- The Cauchy problem for singularly perturbed weakly nonlinear second-order differential equations: an iterative method
- A method to study the Cauchy problem for a singularly perturbed homogeneous linear differential equation of arbitrary order
- A Method of the Study of the Cauchy Problem for a Singularly Perturbed Linear Inhomogeneous Differential Equation
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