We study the existence of solutions to a first-order periodic problem involving ordinary differential equations, by using the quasimetric structure suggested by Bakhtin and Czerwik. The presented approach involves technical conditions and fixed point iterative schemes to yield new theoretical results guaranteeing the existence of at least one solution.
Francesca Vetro, Calogero Vetro (2017). On an idea of Bakhtin and Czerwik for solving a first-order periodic problem. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 18(12), 2123-2134.
On an idea of Bakhtin and Czerwik for solving a first-order periodic problem
Francesca Vetro
;Calogero Vetro
2017-01-01
Abstract
We study the existence of solutions to a first-order periodic problem involving ordinary differential equations, by using the quasimetric structure suggested by Bakhtin and Czerwik. The presented approach involves technical conditions and fixed point iterative schemes to yield new theoretical results guaranteeing the existence of at least one solution.
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