Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments
نویسندگان
چکیده
منابع مشابه
Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments ✩
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x(t) − cx(t − σ))′)′ + g(t, x(t − τ (t)))= p(t), a result on the existence of periodic solutions is obtained. © 2006 Elsevier Inc. All rights reserved.
متن کاملPeriodic Solutions for p-Laplacian Differential Equation With Multiple Deviating Arguments
By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian differential equation with multiple deviating arguments (φp(x′(t)))′ + f(x(t))x′(t) + n ∑ j=1 βj(t)g(x(t− γj(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.
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Using the theory of coincidence degree, we prove the existence of periodic solutions for the p-Laplacian functional differential equations with deviating arguments.
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In this work, we prove the existence and uniqueness of periodic solutions for a Liénard equation with two deviating arguments. Our main tools are the Mawhin’s continuation theorem and the Schwarz inequality. We obtain our results under weaker conditions than those in [14], as shown by an example in the last section of this artticle.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.10.084