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- Title
On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case.
- Authors
Chuiko, Serhiy M.; Nesmelova, Olga V.
- Abstract
Constructive solvability conditions and a scheme for constructing solutions of an autonomous nonlinear boundary value problem unsolved with respect to the derivative have been found. A convergent iterative scheme for Finding approximations to the solutions of a nonlinear autonomous nonlinear boundary value problem unsolved with respect to the derivative was constructed by reducing the problem to the First-order critical case. As an example of application of the constructed iterative scheme, approximations to the solutions of a periodic boundary value problem for the autonomous Lotka–Volterra equation were determined.
- Subjects
BOUNDARY value problems; LOTKA-Volterra equations; NONLINEAR boundary value problems
- Publication
Journal of Mathematical Sciences, 2024, Vol 279, Issue 1, p1
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-06984-7