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Ukrainian Mathematical Journal

, Volume 49, Issue 5, pp 798–804 | Cite as

Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives

  • Ya. I. Bigun
Brief Communications

Abstract

For a system of quasilinear hyperbolic equations with a system of differential equations with lag, we prove theorems on the existence and uniqueness of a solution of the Cauchy problem and its continuous dependence on the initial conditions.

Keywords

Cauchy Problem Average Method Successive Approximation Hyperbolic System Initial Function 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Ya. I. Bigun

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