On a first-order semipositone boundary value problem on a time scale
نویسندگان
چکیده
منابع مشابه
Christopher S . Goodrich Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale
We consider the existence of at least one positive solution to the dynamic boundary value problem −y (t) = λf(t, y(t)), t ∈ [0, T ]Ty(0) = ∫
متن کاملExistence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales
In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.
متن کاملMultiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales
and Applied Analysis 3 For the rest of the paper we need the following assumption: C3 0 < ∑m−2 i 1 αiφ1 ηi < 1. Lemma 2.2 see 1 . Assuming that (C2) and (C3) hold. Let y ∈ C ρ 0 , σ 1 . Then boundary value problem xΔ∇ t a t xΔ t b t x t y t 0, t ∈ 0, 1 T , x ( ρ 0 ) 0, x σ 1 m−2 ∑ i 1 αix ( ηi ) 2.3 is equivalent to integral equation
متن کاملFirst-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales
The theory of time scales was introduced by Hilger in his Ph.D. thesis 1 in 1988 in order to unify continuous and discrete analysis. The study of dynamic equations on time scales is a fairly new subject and research in this area is rapidly growing. For some basic definitions and relevant results on time scales, see 2, 3 . Recently, first-order boundary value problems BVPs for short on time scal...
متن کاملHigher order semipositone multi-point boundary value problems on time scales
In this paper, we are interested in the existence of at least one,two and three positive solutions of a nonlinear second-order m-point boundary value problem on time scales by using fixed point theorems in cones. As an application, some examples are included to demonstrate the main results.
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: Applicable Analysis and Discrete Mathematics
سال: 2014
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm140812013g