ON A COUPLED HYBRID SYSTEM OF ORDINARY SECOND-ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

ON A COUPLED HYBRID SYSTEM OF ORDINARY SECOND-ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

SH. M Al-Issa, A. M. A. El-Sayed, H.H.G. Hashem, H. M. Harisi

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Abstract

In this work, the existence of solutions for coupled systems of ordinary second-order hybrid functional differential blueequations (CSHDE) is concerned, due to Dhage’s hybrid fixed point theorem. Continuous dependence of the solution of our problem will be proven on delay functions. To demonstrate the produced outcome, an example is provided.

Keywords

Nonlinear functional integral equation, existence of continuous solution, Dhage fixed point Theorem, continuous dependence.