Existence of solutions for fractional Sturm-Liouville boundary value problems with p ( t ) $p(t)$ -Laplacian operator
نویسندگان
چکیده
منابع مشابه
Existence of solutions for fractional Sturm-Liouville boundary value problems with p(t)$p(t)$-Laplacian operator
*Correspondence: [email protected] 1School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P.R. China Full list of author information is available at the end of the article Abstract This paper is concerned with the solvability for fractional Sturm-Liouville boundary value problems with p(t)-Laplacian operator at resonance using Mawhin’s continuation theorem. Suffic...
متن کاملExistence of multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.
متن کاملExistence of Solutions for Fractional Integral Boundary Value Problems with p(t)-Laplacian Operator
This paper aims to investigate the existence of solutions for fractional integral boundary value problems with p(t)-Laplacian operator. By using the fixed point theorem and the coincidence degree theory, some new results are obtained, which enrich existing literatures. Some examples are supplied to verify our main results.
متن کاملExistence and uniqueness of solutions for p-laplacian fractional order boundary value problems
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
متن کاملExistence of Positive Solutions for Singular P-laplacian Sturm-liouville Boundary Value Problems
We prove the existence of positive solutions of the Sturm-Liouville boundary value problem −(r(t)φ(u′))′ = λg(t)f(t, u), t ∈ (0, 1), au(0)− bφ−1(r(0))u′(0) = 0, cu(1) + dφ−1(r(1))u′(1) = 0, where φ(u′) = |u′|p−2u′, p > 1, f : (0, 1) × (0,∞) → R satisfies a p-sublinear condition and is allowed to be singular at u = 0 with semipositone structure. Our results extend previously known results in the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2017
ISSN: 1687-2770
DOI: 10.1186/s13661-017-0900-z