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2013•International Journal of Pure and Apllied MathematicsOpen access

OSCILLATIONS OF OF FIRST ORDER IMPULSIVE DIFFERENTIAL NEUTRAL CONSTANT DELAY EQUATIONS WITH MIXED COEFFICIENTS

V. I. Donev, M. B. Dimitrova

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Abstract

In this paper we consider first order impulsive neutral differential equation with constant delay, constant coefficient into the neutral term and variable coefficient into the rest.The asymptotic behavior of a non-oscillatory solution for such equations is investigated and sufficient conditions for oscillation of all the solutions are found.

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In this paper we consider first order impulsive neutral differential equation with constant delay, constant coefficient into the neutral term and variable coefficient into the rest.The asymptotic behavior of a non-oscillatory solution for such equations is investigated and sufficient conditions for oscillation of all the solutions are found.

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Available abstract

In this paper we consider first order impulsive neutral differential equation with constant delay, constant coefficient into the neutral term and variable coefficient into the rest.The asymptotic behavior of a non-oscillatory solution for such equations is investigated and sufficient conditions for oscillation of all the solutions are found.

Key concepts: Constant (computer programming), Constant coefficients, Mathematics, Mathematical analysis, Differential equation, Rest (music), Variable (mathematics), Delay differential equation

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