Nonlinear Boundary Value Problems for Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Multiplicity in Nonlinear Boundary Value Problems for Ordinary Differential Equations
We provide conditions for the existence of multiple solutions of two-point boundary value problems for a system of two nonlinear second-order ordinary differential equations. AMS Subject Classifications: 34B15.
متن کاملNumerical Ordinary Differential Equations - Boundary Value Problems
Consider a second-order linear 2-point boundary value problem (BVP) −z + p(x)z + q(x)z = r(x) (10.1) z(a) = α (10.2) z(b) = β (10.3) where p(x), q(x) and r(x) are given. By defining y(x) := [z(x), z (x)] T , the problem can be changed into a first-order differential system y = 0 1 q(x) p(x) y + 0 −r(x) (10.4) y 1 (a) − α = 0 (10.5) y 2 (b) − β = 0. (10.6) Remark. In general, a linear 2-point BV...
متن کاملBoundary value problems for nonlinear fractional differential equations with integral and ordinary-fractional flux boundary conditions
In this paper, we consider a new class of boundary value problems of Caputo type fractional differential equations supplemented with classical/nonlocal Riemann-Liouville integral and flux boundary conditions and obtain some existence results for the given problems. The flux boundary condition x′(0) = b cDβx(1) states that the ordinary flux x′(0) at the left-end point of the interval [0, 1] is p...
متن کاملBoundary value problems for higher order ordinary differential equations
Let f : [a, b] × R n+1 → R be a Carathéodory's function. Let {t h }, with t h ∈ [a, b], and {x h } be two real sequences. In this paper, the family of boundary value problems´x is considered. It is proved that these boundary value problems admit at least a solution for each k ≥ ν, where ν ≥ n + 1 is a suitable integer. Some particular cases, obtained by specializing the sequence {t h }, are poi...
متن کاملSingular Higher Order Boundary Value Problems for Ordinary Differential Equations
This paper is somewhat of an extension of the recent work done by Kunkel [6]. Kunkel looked at an extension of Rachu̇nková and Rachu̇nek’s work where they studied a second order singular boundary value problem for the discrete p-Laplacian, φp(x) = |x|x [7]. Kunkel’s results extend theirs to the second order differential case, but only for p = 2, i.e. φ2(x) = x. In this paper, we extend Kunkel’s w...
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: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1189