Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term

1 College of International Economics and Trade, Jilin University of Finance and Economics, Jilin, Changchun 130117, China 2 School of Mathematical and Informational Sciences, Yantai University, Shandong, Yantai 264005, China 3 School of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, China 4 Department of Mathematics and Statistics, Curtin University of Technology, Perth, ...

متن کامل

Existence 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 کامل

Positive solutions for nonlinear systems of third-order generalized sturm-liouville boundary value problems with $(p_1,p_2,ldots,p_n)$-laplacian

In this work, byemploying the Leggett-Williams fixed point theorem, we study theexistence of at least three positive solutions of boundary valueproblems for system of third-order ordinary differential equationswith $(p_1,p_2,ldots,p_n)$-Laplacianbegin{eqnarray*}left { begin{array}{ll} (phi_{p_i}(u_i''(t)))'  +  a_i(t) f_i(t,u_1(t), u_2(t), ldots, u_n(t)) =0 hspace{1cm} 0  leq t leq 1, alpha_i u...

متن کامل

Analysis and Numerical Solutions of Positive and Dead Core Solutions of Singular Sturm-Liouville Problems

In this paper, we investigate the singular Sturm-Liouville problem u′′ λg u , u′ 0 0, βu′ 1 αu 1 A, where λ is a nonnegative parameter, β ≥ 0, α > 0, and A > 0. We discuss the existence of multiple positive solutions and show that for certain values of λ, there also exist solutions that vanish on a subinterval 0, ρ ⊂ 0, 1 , the so-called dead core solutions. The theoretical findings are illustr...

متن کامل

Positive Solutions for Singular Sturm-Liouville Boundary Value Problems with Integral Boundary Conditions

In this paper, we study the second-order nonlinear singular Sturm-Liouville boundary value problems with Riemann-Stieltjes integral boundary conditions    −(p(t)u(t)) + q(t)u(t) = f(t, u(t)), 0 < t < 1, α1u(0)− β1u (0) = ∫ 1 0 u(τ)dα(τ), α2u(1) + β2u (1) = ∫ 1 0 u(τ)dβ(τ), where f(t, u) is allowed to be singular at t = 0, 1 and u = 0. Some new results for the existence of positive solu...

متن کامل

ذخیره 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: Journal of Applied Mathematics

سال: 2012

ISSN: 1110-757X,1687-0042

DOI: 10.1155/2012/160891