Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay \[x'(t) = -a(t)h(x(t)) +c(t)x'(t-g(t)) + q(t,x(t) x(t-g(t)))\] has a periodic solution.
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Format: | Article |
Language: | English |
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AGH Univeristy of Science and Technology Press
2012-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3243.pdf |