On Kiguradze theorem for linear boundary value problems
Vladimir Mikhailets, Olha Pelekhata, Nadya Reva
TL;DR
This paper generalizes Kiguradze's 1987 theorem, analyzing the limiting behavior of solutions to nonhomogeneous boundary value problems for linear ODE systems.
Contribution
It extends Kiguradze's theorem to broader classes of boundary value problems, providing new insights into solution limits.
Findings
Established a generalized theorem for solution limits
Provided conditions for convergence of solutions
Enhanced understanding of boundary value problem behavior
Abstract
We investigate the limiting behavior of solutions of nonhomogeneous boundary value problems for the systems of linear ordinary differential equations. The generalization of Kiguradze theorem (1987) on passage to the limit is obtained.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods