Abstract
We establish a general existence reasults for the Klein-Gordon equation with multivalued perturbations. The approach is based on a new fixed point theorem given in [10].
Authors
Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Hyperbolic equation; Differential inclusion; Nonlinear operator.
Paper coordinates
R. Precup, The perturbed Klein-Gordon equation, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 1 (2003), 141-152.
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[8] D. O’Regan and R. Precup, Existence theory for nonlinear operator equations of Hammerstein type in Banach spaces, J. Dynamics Systems Appl.., to appear
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[10] R. Precup, Fixed point theorems for decomposable multivalued maps and applications, to appear.