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Oscillation criteria for a class of even-order neutral delay differential equations
- Authors
- Moaaz, Osama; Park, Choonkil; Muhib, Ali; Bazighifan, Omar
- Issue Date
- Jun-2020
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Deviating argument; Even order; Neutral differential equation; Oscillation
- Citation
- JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, v.63, no.1-2, pp.607 - 617
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
- Volume
- 63
- Number
- 1-2
- Start Page
- 607
- End Page
- 617
- ISSN
- 1598-5865
- Abstract
- In this work, we study the oscillatory behavior of the nth order neutral equation (a (t) theta((n-)1) (t) + (i =1)Sigma(k) qi (l) phi (u(gi(t)) = 0 l >= l(0,) where n, k are positive integers, n is even, n >= 2, p is the p-Laplace operator (constant), p > 1 and theta (t) := |vertical bar (t)vertical bar(p-2) u (t) + h (t) u (t (t)). New oscillation criteria are obtained by employing a refinement of the Riccati transformations, comparison principles and integral averaging technique. This new theorem complements and improves a number of results reported in the literature. One example is provided to illustrate the main results.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)