Solvability of an impulsive boundary value problem on the half-line via critical point theory
نویسندگان
چکیده مقاله:
In this paper, an impulsive boundary value problem on the half-line is considered and existence of solutions is proved using Minimization Principal and Mountain Pass Theorem.
منابع مشابه
Solvability of a Third-order Three-point Boundary Value Problem on a Half-line*
In this paper, we consider the solvability of a third-order three-point boundary value problem on a half-line of the form: { x′′′(t) = f(t, x(t), x′(t), x′′(t)), 0 < t < +∞, x(0) = αx(η), lim t→+∞ x(t) = 0, i = 1, 2, where α 6= 1 and η ∈ (0,+∞), while f : [0,+∞)× R → R is S − Carathéodory function. The existence and uniqueness of solutions for the boundary value problems are obtained by the Ler...
متن کاملSolvability for Second-order M-point Boundary Value Problems at Resonance on the Half-line
In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t)x′(t))′ = f(t, x(t), x′(t)), a.e. in (0,∞), x(0) = m−2 X i=1 αix(ξi), lim t→∞ q(t)x′(t) = 0. Some existence results are obtained by using the Mawhin’s coincidence theory.
متن کاملSolvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance
Differential equation with fractional order have recently proved valuable tools in the modeling of many phenomena in various fields of science and engineering [1-5]. Recently, many researchers paid attention to existence result of solution of the boundary value problems for fractional differential equations at nonresonance, see for examples [6-15]. But, there are few papers which consider the b...
متن کاملSolvability of a third-order two-point boundary value problem
A new comparison theorem is proved and then used to investigate the solvability of a third-order two-point boundary value problem u′′′(t) + f(t, u(t), u′(t), u′′(t))) = 0, u(0) = u′(2π) = 0, u′′(0) = u′′(2π). Some existence results are established for this problem via upper and lower solutions method and fixed point theory. 2000MR Subject Classification: 34B15, 34C05
متن کاملExistence and Multiplicity of Solutions for Some Fractional Boundary Value Problem via Critical Point Theory
and Applied Analysis 3 A3 lim inf|x|→ ∞ ∇F t, x , x − 2F t, x /|x|μ ≥ Q > 0 uniformly for some Q > 0 and a.e. t ∈ 0, T , where r > 2 and μ > r − 2. We state our first existence result as follows. Theorem 1.1. Assume that (A1)–(A3) hold and that F t, x satisfies the condition (A). Then BVP 1.1 has at least one solution on E. 1.2. The Asymptotically Quadratic Case For the asymptotically quadratic...
متن کاملMultiplicity Results for a Discrete Boundary Value Problem via Critical Point Theory
This paper is a survey on some recent multiplicity results, contained in [11], for a discrete boundary value problem involving the p-Laplacian via critical point theory. An overview on the abstract critical points results used to obtain them it is also given.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 43 شماره 3
صفحات 601- 615
تاریخ انتشار 2017-06-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023