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    STUDIA MATHEMATICA - Issue no. 4 / 2020  
         
  Article:   ON OSCILLATORY SECOND-ORDER NONLINEAR IMPULSIVE SYSTEMS OF NEUTRAL TYPE.

Authors:  ARUN KUMAR TRIPATHY, SHYAM SUNDAR SANTRA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.4.03

Published Online: 2020-11-28
Published Print: 2020-12-20
pp. 503-519

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ABSTRACT: In this work, the necessary and sufficient conditions for oscillation of a class of second order neutral impulsive systems are established and our impulse satisfies a discrete neutral nonlinear equation of similar type. Further, one illustrative example showing the applicability of the new result is included.

Keywords: Oscillation; nonoscillation; neutral; delay; non-linear; Lebesgue’s dominated convergence theorem; Banach’s fixed point theorem.
 
         
     
         
         
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