Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter
نویسندگان
چکیده
منابع مشابه
Positive periodic solutions of functional differential equations
We consider the existence, multiplicity and nonexistence of positive o-periodic solutions for the periodic equation x0ðtÞ 1⁄4 aðtÞgðxÞxðtÞ lbðtÞf ðxðt tðtÞÞÞ; where a; bACðR; 1⁄20;NÞÞ are o-periodic, Ro 0 aðtÞ dt40; Ro 0 bðtÞ dt40; f ; gACð1⁄20;NÞ; 1⁄20;NÞÞ; and f ðuÞ40 for u40; gðxÞ is bounded, tðtÞ is a continuous o-periodic function. Define f0 1⁄4 limu-0þ f ðuÞ u ; fN 1⁄4 limu-N f ðuÞ u ; i0...
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In this paper, we consider first-order neutral differential equations with a parameter and impulse in the form of d dt [x(t)− cx(t− γ)] = −a(t)g(x(h1(t)))x(t) + λb(t)f ` x(h2(t)) ́ , t 6= tj ; ∆ ˆ x(t)− cx(t− γ) ̃ = Ij ` x(t) ́ , t = tj , j ∈ Z. Leggett-Williams fixed point theorem, we prove the existence of three positive periodic solutions.
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/812867