Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems
and Applied Analysis 3 (C6) (P + JQN)γ(∂Ω 2 ) ⊂ C, (C7) Ψ γ (Ω 2 \ Ω 1 ) ⊂ C, then the equation Lx = Nx has a solution in the set C ∩ (Ω 2 \ Ω 1 ). 3. Positive Solution for the Nonresonant Problem In this section, we suppose that f ∈ C([0, 1] × [0, +∞), [0, +∞)) and ∑m−2 i=1 β i < 1. We begin with some preliminary results. Consider the problem x (t) + y (t) = 0, t ∈ [0, 1] , (10) x (0) =...
متن کاملPositive 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 کاملResearch Article Several Existence Theorems of Monotone Positive Solutions for Third-Order Multipoint Boundary Value Problems
Recommended by Kanishka Perera Using fixed point index theory, we obtain several sufficient conditions of existence of at least one positive solution for third-order m-point boundary value problems.
متن کاملExistence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...
متن کاملPositive Solutions for a Class of Nonresonant Boundary-value Problems
This paper concerns the existence and multiplicity of positive solutions to the nonresonant second-order boundary-value problem Lx = λw(t)f(t, x). We are interested in the operator Lx := −x′′ + ρqx when w is in Lp for 1 ≤ p ≤ +∞. Our arguments are based on fixed point theorems in a cone and Hölder’s inequality. The nonexistence of positive solutions is also studied.
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: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/519346