[PDF] Top 20 Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator

... The main tools are the priori estimate method and the Leray-Schauder fixed point theorem. However, there are few papers dealing with the existence of positive solutions when φ satisfies H1 and f depends on ... See full document

... of solutions (or positive solu- tions) of nonlinear fractional differential equation by the use of techniques of nonlinear analysis (fixed-point theorems, Leray-Schauder theory, upper and lower solution ... See full document

... of solutions of multipoint boundary value problems for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...three-point boundary value problems for ... See full document

... symmetric positive solutions for the multi-point integral boundary-value problems with φ -Laplacian ...symmetric positive solutions for multi- point ... See full document

... Boundary value problems, including the φ-Laplacian operator, have received a lot of attention with respect to the existence and multiplicity of ...periodic boundary conditions (see ... See full document

... of positive, meaningful, solutions. The existence of positive solutions for ordinary differential equa- tions and p-Laplacian equations have been studied by several authors and many ... See full document

... where 2 < α ≤ 3, 1 < β ≤ 2 are real numbers, λ > 0 is a parameter, and f : (0, + ∞ ) → (0, +∞) is continuous. By using the properties of Green function and the Guo–Krasno- sel’skii fixed-point theorem on cones, ... See full document

... the boundary value problem (.) into an equivalent integral equation so that we can construct a special ...corresponding problem without the impulsive terms, so that we can construct ... See full document

... By using the Four functionals fixed point theorem and Five functionals fixed point theorem, we obtain the existence criteria of at least one positive solution and three positive solutions for the BVP ... See full document

... where ξ < η, f ∈ C0, 1 × 0, ∞, 0, ∞. By using fixed-point theorem for operators on a cone, they obtained some existence of at least three positive solutions for the above problem. However, to the ... See full document

... where D η–2 0+ , D k–2 0+ are the standard Riemann–Liouville fractional derivative, n – 1 < η ≤ n, η ≥ 4, 2 ≤ k ≤ n – 2, α, β, γ , δ > 0. 0 1 u(s) dA(s) and 0 1 u(s) dB(s) denote the Riemann– Stieltjes integrals of ... See full document

... p-Laplacian operator have gained its pop- ularity and importance due to its distinguished applications in numerous diverse fields of science and engineering, such as viscoelasticity mechanics, non-Newtonian ... See full document

... Fractional calculus is the extension of integer order calculus to arbitrary order calculus. With the development of fractional calculus, fractional differential equations have wide applications in the modeling of different ... See full document

... conditions y() = y() = y () = y () = , which can be used to model the deflection of elastic beams simply supported at the endpoints [–]. This explains the reason that the last two decades have witnessed an ... See full document

... In this paper, by applying a fixed point theorem to verify the existence of at least three positive solutions to a three-point boundary value problem with p-Laplacian. The ... See full document

... But whether or not we can obtain the existence and uniqueness of a positive and non- decreasing solution to the boundary value problem (.)-(.) still remains unknown. So, motivated by all ... See full document

... i.e., (Tu)( – t) = (Tu)(t), t ∈ [, ]. Therefore, (Tu)(t) is symmetric on [, ]. So Tu ∈ P and T (P) ⊂ P. By applying the Arzela-Ascoli theorem, we can see that T(P) is relatively compact. In view of Lebesgue ... See full document

... lower solutions to the boundary value problem should exist, but constructs the specific form of the sym- metric upper and lower ...Liouville boundary value ... See full document

... In this section, we present the Avery-Peterson fixed point theorem and some lemmas. Theorem . ([]) Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functional on P. Let α be a ... See full document

... the boundary conditions u 0 0, βu 1 αu1 A and u0 1, u1 1, respectively, and present numerical ...9. Positive and dead-core solutions to the third-order singular differential ... See full document