Homoclinic solutions for n-dimensional p-Laplacian neutral differential systems with a time-varying delay
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DOI: 10.1186/s13662-018-1889-z
Abstract: In this paper, we investigate the existence of a set with 2kT$2kT$-periodic solutions for n-dimensional p-Laplacian neutral differential systems with a time-varying delay (φp(u(t)−Cu(t−τ))′)′+ddt∇F(u(t))+G(u(t−γ(t)))=ek(t)$(\varphi_{p}(u(t)-Cu(t-\tau ))')'+ \frac{d}{dt}\nabla F(u(t))+G(u(t-\gamma (t)))=e_{k}(t)$ based on the coincidence degree theory of… read more here.
Keywords: laplacian neutral; neutral differential; differential systems; dimensional laplacian ... See more keywords
Periodic solution for ϕ-Laplacian neutral differential equation
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DOI: 10.1515/math-2019-0019
Abstract: Abstract This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)). $$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$ By applications of an extension of Mawhin’s continuous theorem due to Ge… read more here.
Keywords: laplacian neutral; periodic solution; neutral differential; solution ... See more keywords