• EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS WITH FORCING TERM

S. Lourdu Marian1*, M. Paul Loganathan2, A. George Maria Selvam3

Abstract


This paper deals with the existence of positive solutions of nonlinear neutral delay difference equations with positive and negative coefficients of the form


under the following assumption that

for various ranges of . By using Banach’s contraction mapping principle, some sufficient conditions are established for the existence of nonoscillatory solutions.

Keywords


Difference equations, fixed point, nonoscillation, nonlinear, second order.

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