This article is cited in 43 papers

Boundary value problems for systems of ordinary differential equations

I. T. Kiguradze


Abstract: This article contains an exposition of fundamental results of the theory of boundary-value problems for systems of linear and nonlinear ordinary differential equations. In particular, criteria are given for problems with functional, many-point, and two-point boundary conditions to be solvable and well-posed, as well as methods of finding approximate solutions. We also examine questions of existence, uniqueness, and stability of periodic and bounded solutions of nonautonomous differential systems.

UDC: 517.927

 English version: Journal of Soviet Mathematics, 1988, 43:2, 2259–2339

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