[PDF] Top 20 Existence and Uniqueness of Positive Solutions for Discrete Fourth Order Lidstone Problem with a Parameter

... the existence and multiplicity of positive solutions of fourth-order problem, for example, 8–10, and in particular the discrete problem with Lidstone ... See full document

... the existence and nonexistence of positive solutions for problem ...the uniqueness of a positive solution for problem ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...the existence of general ... See full document

... the existence and nonexistence of positive solutions to a class of third-order three-point nonhomogeneous ...of positive solutions for some fourth-order two-point ... See full document

... the existence of solutions and positive solutions of these kinds of problems and the Lidstone problem has been extensively studied; see 3–9 and the references ...the ... See full document

... Now, from the assumption ( ) A 4 , we get f t ( ) 0 ,0  0 for a certain t 0    a b , and hence the continuity of f provide us a set D    a b , with t 0  D and  ( ) D  0, where  is the Lebesgue measure, such ... See full document

... the existence and uniqueness of positive solutions for fourth-order singular boundary value problems by using mixed monotone ... See full document

... The existence of positive solutions for second-order boundary value problems has been studied by many authors using various methods (see ...the existence and multiplicity of symmetric ... See full document

... HY carried out the study of the two-parameter nonresonance conditions for periodic boundary value problems, participated in the proof of the main results and drafted the manuscript. YL participated in the design ... See full document

... The existence of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, the ... See full document

... the uniqueness of solutions for singular higher- order continuous boundary value problems by using mixed monotone method, for example, see 6, 14, ...the uniqueness of solutions for ... See full document

... the existence of solutions and positive solutions to bound- ary value problems for fourth-order di ff erential equations is observed; see, for example, ... See full document

... the existence of positive solutions when φ satisfies H1 and f depends on both u and u ...the existence of positive solutions of ... See full document

... all order derivatives u’ , u″ , u‴ are not involved explicitly in the nonlinear term ...the existence of positive solutions for the nonlocal fourth-order boundary value ... See full document

... nontrivial solutions for ...homoclinic solutions for ...a positive periodic function and s is a positive constant by the moun- tain-pass theorem of Brezis-Nirenberg and ... See full document

... the existence and uniqueness of a positive and non- decreasing solution to the boundary value problem ...the existence and uniqueness of a pos- itive and nondecreasing solution ... See full document

... nonlinear fourth-order ordinary differential ...nonlinear fourth- order di ff erential ...the existence of the positive solutions and the multiple positive ... See full document

... The existence of positive solutions [1] of the boundary value problems (BVPs) have created a great deal of interest due to wide applicability in both theory and ...considered Lidstone type ... See full document

... 9. Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, San Diego ... See full document

... Define the linear operator P : C → C . For each x ∈ C , P[x](t) = y(t) is a solution of (). Thus the existence of the solution of () is equivalent to the existence of the fixed point of P in Banach space ... See full document