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Oscillation and nonoscillation theorems of neutral dynamic equations on time scales

Zhou, Yong ; Alsaedi, Ahmed ; Ahmad, Bashir

Advances in difference equations, 2019-09, Vol.2019 (1), p.1-11, Article 404 [Periódico revisado por pares]

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Título:
Oscillation and nonoscillation theorems of neutral dynamic equations on time scales
Autor: Zhou, Yong ; Alsaedi, Ahmed ; Ahmad, Bashir
Assuntos: Analysis ; Difference and Functional Equations ; Dynamic equations ; Functional Analysis ; Mathematics ; Mathematics and Statistics ; Nonoscillation ; Ordinary Differential Equations ; Oscillation ; Partial Differential Equations ; Time ; Time scales
É parte de: Advances in difference equations, 2019-09, Vol.2019 (1), p.1-11, Article 404
Descrição: We present the oscillation criteria for the following neutral dynamic equation on time scales: ( y ( t ) − C ( t ) y ( t − ζ ) ) Δ + P ( t ) y ( t − η ) − Q ( t ) y ( t − δ ) = 0 , t ∈ T , where C , P , Q ∈ C rd ( [ t 0 , ∞ ) , R + ) , R + = [ 0 , ∞ ) , γ , η , δ ∈ T and γ > 0 , η > δ ≥ 0 . New conditions for the existence of nonoscillatory solutions of the given equation are also obtained.
Editor: Cham: Springer International Publishing
Idioma: Inglês

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