Positive solutions for a singular third order boundary value problem
نویسندگان
چکیده
منابع مشابه
Positive Solutions for a Singular Third Order Boundary Value Problem
The existence of positive solutions is shown for the third order boundary value problem, u′′′ = f (x,u),0 < x < 1, u(0) = u(1) = u′′(1) = 0, where f (x,y) is singular at x = 0 , x = 1 , y = 0 , and may be singular at y = ∞. The method involves application of a fixed point theorem for operators that are decreasing with respect to a cone. Mathematics subject classification (2010): 34B16, 34B18.
متن کاملPositive Solutions to a Singular Second Order Boundary Value Problem
In this paper, we establish some criteria for the existence of positive solutions for certain two point boundary value problems for the singular nonlinear second order equation −(ru ) + qu = λf (t, u ) on a time scale T. As a special case when T = R, our results include those of Erbe and Mathsen [11]. Our results are new in a general time scale setting and can be applied to difference and q-dif...
متن کاملMultiple Positive Solutions for Nonlinear Singular Third-order Boundary Value Problem in Abstract Spaces
In this paper, we study the nonlinear singular boundary value problem in abstract spaces: { u′′′ + f(t, u) = θ, t ∈ (0, 1), u(0) = u′(0) = θ, u′(1) = ξu′(η), where 0 < η < 1 and 1 < ξ < 1 η , θ denotes the zero element of E, E is a real Banach space, and f(t, u) is allowed to be singular at both end point t = 0 and t = 1. We show the existence of at least two positive solutions of this problem.
متن کاملMultiple positive solutions to third-order three-point singular semipositone boundary value problem
By using a specially constructed cone and the fixed point index theory, this paper investigates the existence of multiple positive solutions for the third-order three-point singular semipositone BVP: x ′′′ (t) − λ f (t, x) = 0, t ∈ (0, 1); x(0) = x ′ (η) = x ′′ (1) = 0, where 1 2 < η < 1, the non-linear term f (t, x): (0, 1) × (0, +∞) → (−∞, +∞) is continuous and may be singular at t = 0, t = 1...
متن کاملPositive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions
Under various weaker conditions, we establish various results on the existence and nonexistence of positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions. The arguments are based upon the fixed point theorem of cone expansion and compression. Finally, we give two examples to demonstrate our results. Key–Words: Positive solutions, Fix...
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: Differential Equations & Applications
سال: 2015
ISSN: 1847-120X
DOI: 10.7153/dea-07-25