Electron. J. Diff. Eqns., Vol. 2002(2002), No. 59, pp. 1-11.

Positive solutions and nonlinear eigenvalue problems for retarded second order differential equations

G. L. Karakostas & P. Ch. Tsamatos

Abstract:
We investigate the eigenvalues of a nonlocal boundary value problem for a second order retarded differential equation. We provide information on norm estimates, uniqueness, and continuity of solutions.

Submitted March 27, 2002. Published June 21, 2002.
Math Subject Classifications: 34K10.
Key Words: Nonlocal boundary value problems, positive solutions, concave solutions, retarded second order differential equations.

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G. L. Karakostas
Department of Mathematics
University of Ioannina,
451 10 Ioannina, Greece
email: gkarako@cc.uoi.gr
P. Ch. Tsamatos
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: ptsamato@cc.uoi.gr

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