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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. |
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Abstract: DOI: 10.24193/subbmath.2020.4.03 Published Online: 2020-11-28 Published Print: 2020-12-20 pp. 503-519 VIEW ARTICLE VIEW ISSUE PDF 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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