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Wong Type Oscillation Criteria for Nonlinear Impulsive Differential Equations
  • A. Zafer,
  • Sibel Dogru Akgol
A. Zafer
American University of the Middle East

Corresponding Author:agacik.zafer@aum.edu.kw

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Sibel Dogru Akgol
Atilim Universitesi
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We present Wong-type oscillation criteria for nonlinear impulsive differential equations having discontinuous solutions and involving both negative and positive coefficients. We use a technique that involves the use of a nonprincipal solution of the associated linear homogeneous equation. The existence of principal and nonpricipal solutions was recently obtained by the present authors in [J. Math. Anal. Appl. 503 (2021) 125311]. As special cases, we have superlinear and sublinear Emden-Fowler equations under impulse effects. It is shown that the oscillation behavior changes due to impulses, in particular impulses acting on the solution itself, not on its derivative. An example is also given to illustrate the importance of the results.
05 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
06 Apr 2022Submission Checks Completed
06 Apr 2022Assigned to Editor
09 Apr 2022Reviewer(s) Assigned
16 Jul 2022Review(s) Completed, Editorial Evaluation Pending
18 Jul 2022Editorial Decision: Revise Major
24 Jul 20221st Revision Received
25 Jul 2022Assigned to Editor
25 Jul 2022Submission Checks Completed
25 Jul 2022Reviewer(s) Assigned
02 Aug 2022Review(s) Completed, Editorial Evaluation Pending
23 Aug 2022Editorial Decision: Revise Minor
16 Sep 20222nd Revision Received
16 Sep 2022Submission Checks Completed
16 Sep 2022Assigned to Editor
16 Sep 2022Reviewer(s) Assigned
26 Sep 2022Review(s) Completed, Editorial Evaluation Pending
27 Sep 2022Editorial Decision: Accept