Behavior of the Solutions of Functional Equations

Ioannis P. Stavroulakis () and Michail A. Xenos ()
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Ioannis P. Stavroulakis: University of Ioannina
Michail A. Xenos: University of Ioannina

A chapter in Computational Mathematics and Variational Analysis, 2020, pp 465-504 from Springer

Abstract: Abstract In the last decades the oscillation theory of delay differential equations has been extensively developed. The oscillation theory of discrete analogues of delay differential equations has also attracted growing attention in the recent years. Consider the first-order delay differential equation, 1 x ′ ( t ) + p ( t ) x ( τ ( t ) ) = 0 , t ≥ t 0 , $$\displaystyle \begin{aligned} x'(t) + p(t) \, x(\tau(t)) = 0, \,\,\,\,\,\, t \ge t_0, \end{aligned} $$ where p , τ ∈ C ( [ t 0 , ∞ ] , ℝ + ) $$p, \tau \in C([t_0, \infty ], \mathbb {R}^+)$$ , τ(t) is nondecreasing, τ(t)

Date: 2020
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DOI: 10.1007/978-3-030-44625-3_25

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