[PDF] Top 20 Existence and multiple solutions to a discrete fourth order boundary value problem

... the existence and multiple solutions of discrete boundary value ...the existence and multiple solutions to the boundary value problem ... See full document

... the existence of one solution, but they did not obtain the existence conditions of multiple ...the discrete analogue of the following self-adjoint differential ... See full document

... the existence and multiplicity of solutions of operator equations with variational ...in order to obtain multiple solutions by using Morse theory, it is crucial to describe critical ... See full document

... This problem models deformations of an elastic beam in equilibrium state, whose two ends are simply ...the existence of this problem in a scalar space has been studied by many authors using ... See full document

... to t, respectively, f ∈ C([, ] × R, R), A and B are two real constants. System (.) has been studied in [–] and the references therein. For a beam, t =  and t =  in (.) refer to the two ends of the beam. At ... See full document

... the existence of sign-changing solutions, positive solutions, and negative solutions for BVP ...the existence of sign-changing solutions, positive solutions, and negative ... See full document

... the fourth-order ordi- nary differential equations are ...a fourth-order differential equation boundary value problem (BVP for ...by fourth-order differential ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...the existence of solutions and positive ... See full document

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

... u(0) = u(L) = u (0) = u (L) = u (4) (0) = u (4) (L) = 0, (1 : 2) where A, B, and C are some given real constants and f(x, u) is a continuous function on R 2 , is motivated by the study for stationary solutions of ... See full document

... on problem (.) is limited. When l = , the existence of positive solutions of problem ...the existence of nodal solutions of problem ... See full document

... multi-point boundary value problems has received increas- ing ...the existence and multiplicity results, see [1, 2, 3, ...multi-point boundary value problems of linear ... See full document

... the existence of solutions and positive solutions to boundary-value problems for higher order differential equations is observed, see for example ...proved existence ... 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

... the existence and uniqueness theorems of the second order nonlinear boundary value ...the existence and uniqueness of the solutions of the second order nonlinear ... See full document

... [6] Guendouz, C., Haddouchi, F. and Benacicha, S. (2018) Existence of Positive Solu- tions for a Nonlinear Third-Order Integral Boundary Value Problem. Annals of the Academy of Romanian ... See full document

... of multiple nontrivial solutions for some fourth order problems [18, ...the fourth-order equation and the variable exponent equation goes to the p(x)-biharmonic ... See full document

... Fourth order differential equations are often used in engineering and physical ...problems. Boundary value problems associated to fourth order differential equations appear in ... See full document

... the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ...the problem (1.1) is limited. ... See full document

... years boundary value problem on time scales has received considerable attention ...the existence of solutions to dynamic equations on time scales is observed, for example, see ... See full document