Boundary value problems for one-parameter second-order differential equations

Svatoslav Staněk

Published: 1993-09-30

Vol. 7 (1993)

Boundary value problems for one-parameter second-order differential equations

Svatoslav Staněk

Abstract

The paper establishes sufficient conditions for the existence of solutions of a one-parameter differential equation x" = f(t,x,x',λ) satisfying some of the following boundary conditions:
γ(x) = 0, x'(a) = x'(b) = 0,
x'(a) = x'(b) = 0, x(c)-x(d) = 0
and
x'(a) = x'(t₀) = x'(b) = 0.
Here γ is a functional. The application is given for a class of one-parameter functional boundary value problems.

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Staněk, S. (1993). Boundary value problems for one-parameter second-order differential equations. Annales Mathematicae Silesianae, 7, 89–98. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14249

References

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Vol. 7 (1993)
Published: 1993-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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