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- Title
Necessary and sufficient conditions for oscillation of second-order differential equation with several delays.
- Authors
Santra, Shyam Sundar
- Abstract
In this paper, necessary and sufficient conditions are establish of the solutions to second-order delay differential equations of the form (r(t)(x′(t))λ)′ + ∑i=1m qi (t) fi (x(σi(t))) = 0 for t ≥ t0, We consider two cases when fi(u)/uβ is non-increasing for β < γ, and non-decreasing for β > γ where β and γ are the quotient of two positive odd integers. Our main tool is Lebesgue's Dominated Convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.
- Publication
Studia Universitatis Babes-Bolyai, Mathematica, 2023, Vol 68, Issue 2, p319
- ISSN
0252-1938
- Publication type
Academic Journal
- DOI
10.24193/subbmath.2023.2.08