The existence of solutions for fractional differential equations with p-Laplacian at resonance.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4979367
Abstract: By giving proper transformation, selecting suitable Banach spaces and operators, and using Mawhin's coincident theory, we investigate the existence of solutions for fractional differential equations with p-Laplacian at resonance under two kinds of boundary conditions,… read more here.
Keywords: solutions fractional; equations laplacian; laplacian resonance; fractional differential ... See more keywords
Asymptotics and oscillation of higher-order functional dynamic equations with Laplacian and deviating arguments
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-016-1065-2
Abstract: In this paper, we deal with the asymptotics and oscillation of the solutions of higher-order nonlinear dynamic equations with Laplacian and mixed nonlinearities of the form {rn−1(t)ϕαn−1[(rn−2(t)(⋯(r1(t)ϕα1[xΔ(t)])Δ⋯)Δ)Δ]}Δ+∑ν=0Npν(t)ϕγν(x(gν(t)))=0 $$\begin{aligned}& \bigl\{ r_{n-1}(t) \phi_{\alpha_{n-1}} \bigl[ \bigl(r_{n-2}(t) \bigl(\cdots \bigl(r_{1}(t)\phi… read more here.
Keywords: bigl; bigr; equations laplacian; higher order ... See more keywords
Unbounded solutions for differential equations with p-Laplacian and mixed nonlinearities
Sign Up to like & getrecommendations! Published in 2017 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2016-0082
Abstract: Abstract The existence of unbounded solutions with different asymptotic behavior for a second order nonlinear differential equation with p-Laplacian is considered. The oscillation of all solutions is investigated. Some discrepancies and similarities between equations of… read more here.
Keywords: unbounded solutions; laplacian mixed; equations laplacian; mixed nonlinearities ... See more keywords
Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0336
Abstract: Abstract This paper is concerned with the existence and nonexistence of positive solutions for the eigenvalue problems of nonlinear Hadamard fractional differential equations with p-Laplacian operator. By applying the properties of the Green function and… read more here.
Keywords: hadamard fractional; equations laplacian; eigenvalue problems; fractional differential ... See more keywords