NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM

NONOSCILLATORY SOLUTIONS OF CERTAIN NONLINEAR HIGHER ORDER DIFFERENTIAL AND DELAY DIFFERENTIAL EQUATIONS WITH FORCING TERM

T. Candan

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Abstract

There are some nonlinear higher order differential and delay equations with forcing term that are taken into consideration. Using the Schauder fixed point theorem, the sufficient conditions for the existence of nonoscillatory solutions to these equations are derived. The application of theoretical findings is demonstrated by an example. Our results generalize some known results in the references.

Keywords

Nonoscillatory solution, Fixed point, Higher-order, Delay.