p-Laplacian functional dynamic equations on time scales
نویسندگان
چکیده
منابع مشابه
Three Positive Solutions for p-Laplacian Functional Dynamic Equations on Time Scales
In this paper, existence criteria of three positive solutions to the followimg p-Laplacian functional dynamic equation on time scales { [ Φp(u (t)) 5 + a(t)f(u(t), u(μ(t))) = 0, t ∈ (0, T ) , u0(t) = φ(t), t ∈ [−r, 0] , u(0)−B0(u (η)) = 0, u(T ) = 0, are established by using the well-known Five Functionals Fixed Point Theorem.
متن کاملEigenvalue Problems for p-Laplacian Functional Dynamic Equations on Time Scales
This paper is concerned with the existence and nonexistence of positive solutions of the p-Laplacian functional dynamic equation on a time scale, φp x t ∇ λa t f x t , x u t 0, t ∈ 0, T , x0 t ψ t , t ∈ −τ, 0 , x 0 − B0 x 0 0, x T 0. We show that there exists a λ∗ > 0 such that the above boundary value problem has at least two, one, and no positive solutions for 0 < λ < λ∗, λ λ∗ and λ > λ∗, res...
متن کاملThree Positive Solutions for P-laplacian Functional Dynamic Equations on Time Scales
In this paper, we establish the existence of three positive solutions to the following p-Laplacian functional dynamic equation on time scales, [Φp(u ∆(t))]∇ + a(t)f(u(t), u(μ(t))) = 0, t ∈ (0, T )T, u0(t) = φ(t), t ∈ [−r, 0]T, u(0)−B0(u(η)) = 0, u(T ) = 0, . using the fixed-point theorem due to Avery and Peterson [8]. An example is given to illustrate the main result.
متن کاملPositive Solutions for Third-Order p-Laplacian Functional Dynamic Equations on Time Scales
Let T be a closed nonempty subset of R, and let T have the subspace topology inherited from the Euclidean topology on R. In some of the current literature, T is called a time scale or measure chain . For notation, we shall use the convention that, for each interval of J of R, J will denote time scales interval, that is, J : J ∩ T. In this paper, let T be a time scale such that −r, 0, T ∈ T. We ...
متن کاملPositive Solutions for p - Laplacian Functional Dynamic Equations on Time Scales ∗
Using fixed point theorems in cones, we establish some sufficient conditions for the existence of at least single and multiple positive solutions of the boundary value problems for a p-Laplacian functional dynamic equation on time scales. Our results generalize and extend some earlier results in the literature. As application, two examples are also given to illustrate the results. AMS subject c...
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: Advances in Difference Equations
سال: 2014
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2014-145