Positive solutions to an Nth order right focal boundary value problem
نویسندگان
چکیده
منابع مشابه
Estimates of Positive Solutions for Higher Order Right Focal Boundary Value Problem
We consider the (p,n− p) right focal boundary value problem. A new set of upper and lower estimates of positive solutions for the boundary value problem are obtained. These estimates implement and improve the ones in the literature. AMS Subject Classification: 34B18.
متن کاملThree Positive Solutions to a Discrete Focal Boundary Value Problem
We are concerned with the discrete focal boundary value problem ∆3x(t−k) = f(x(t)), x(a) = ∆x(t2) = ∆2x(b+ 1) = 0. Under various assumptions on f and the integers a, t2, and b we prove the existence of three positive solutions of this boundary value problem. To prove our results we use fixed point theorems concerning cones in a Banach space.
متن کاملPositive Solutions for Nonlinear nth-Order Singular Nonlocal Boundary Value Problem
We study the existence and multiplicity of positive solutions for a class of nth-order singular nonlocal boundary value problems u(n)(t) + a(t) f (t,u) = 0, t ∈ (0,1), u(0) = 0, u′(0) = 0, . . . ,u(n−2)(0) = 0, αu(η) = u(1), where 0 < η < 1, 0 < αηn−1 < 1. The singularity may appear at t = 0 and/or t = 1. The Krasnosel’skii-Guo theorem on cone expansion and compression is used in this study. Th...
متن کاملPositive solutions of a nonlinear nth order boundary value problem with nonlocal conditions
We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u(n) + a(t) f (u) = 0, t ∈ (0, 1) u(0) = 0, u′(0) = 0, . . . , u(n−2)(0) = 0, αu(η) = u(1), where 0 < η < 1, 0 < αηn−1 < 1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones due to Krasnoselk...
متن کاملExistence and Nonexistence of Positive Solutions to a Right-focal Boundary Value Problem on Time Scales
where n≥ 2, t1 < t2 < ··· < tn−1 < tn, λ is a real parameter, and x = x(t) is a desired solution. The arguments are similar to those used in [9, 13]. In the third section we obtain multiplicity results for this problem with λ = 1. In the fourth section existence, nonexistence, and multiplicity results are given for the eigenvalue problem. To understand this so-called dynamic equation (1.1) on a...
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: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2007
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2007.1.4