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Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay


Affiliations
1 PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram – 637 401, Namakkal Dt., Tamil Nadu, India
 

The present effort deals about oscillation of solutions of impulsive hyperbolic differential equations with distributed deviating arguments. Sufficient conditions are obtained for the oscillation of solutions using impulsive differential inequalities and integral averaging scheme with boundary condition. Example is provided to illustrate the obtained results.

Keywords

Distributed Delay, Impulse, Oscillation, Partial Differential Equations.
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  • Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay

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Authors

V. Sadhasivam
PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram – 637 401, Namakkal Dt., Tamil Nadu, India
T. Kalaimani
PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram – 637 401, Namakkal Dt., Tamil Nadu, India
K. Logaarasi
PG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram – 637 401, Namakkal Dt., Tamil Nadu, India

Abstract


The present effort deals about oscillation of solutions of impulsive hyperbolic differential equations with distributed deviating arguments. Sufficient conditions are obtained for the oscillation of solutions using impulsive differential inequalities and integral averaging scheme with boundary condition. Example is provided to illustrate the obtained results.

Keywords


Distributed Delay, Impulse, Oscillation, Partial Differential Equations.

References





DOI: https://doi.org/10.15613/sijrs%2F2017%2Fv4i1%2F172389