[PDF] Top 20 Multiplicity results for nonlinear mixed boundary value problem

... The role of (AR) is to ensure the boundness of the Palais-Smale sequences for the Euler- Lagrange functional associated to the problem. This is very crucial in the applications of critical point theory. ... See full document

... interesting results on the existence and multiplicity of the solutions for various boundary value problems of equation ...Dirichlet problem and an existence theorem for periodic and ... See full document

... the problem of escape for a continuous ...particular problem of escape in the inverted Van der Pol ...theoretical results obtained using the action plot are shown to be in agreement with experimental ... See full document

... The nonlinear boundary-value problem for the diffusion equation, which models gas interaction with solids, is ...ear boundary conditions. The boundary-value problem ... See full document

... Existence results for a nonlinear boundary value problem involving a proportional fractional derivative by utilizing some fixed point theorems are ...obtained results are new and ... See full document

... the nonlinear function in the original equations, but also transforming the original nonlinear boundary conditions into some new boundary conditions which are easy to ...the nonlinear ... See full document

... fulfilled, for example, if H is a strongly bounded linear operator. In this case, the opti- mality of obtained results was proved in [21] (see Remark 4.2 on page 97 and Remark 12.2 on page 243 therein). More ... See full document

... A quasilinearization technique due to Lakshmikantham [9] is applied to obtain an analytic approximation of the solution of the problem (1.1-1.2). In fact, we obtain sequences of upper and lower solutions ... See full document

... exiguous results dealing with boundary value problems of fractional functional differential equations with time ...the nonlinear function f not only depends on x t but also depends on the ... See full document

... and multiplicity of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where η ∈ (0, 1), γ ∈ [0, 1), a(t) and f ... See full document

... In passing, we remark that the definition of Riemann-Liouville fractional derivative, which did certainly play an important role in the development of theory of fractional derivatives and integrals, could hardly produce ... See full document

... linear boundary value problem involving both the right Caputo and the left Riemann-Liouville fractional derivatives have been studied by many authors ...a nonlinear fractional oscillator ... See full document

... Abstract In this paper, we consider a system of equations of mixed type and with changing time direction. It is proved that solution of the system is not stable depend from the vari- ation of the data. Theorems of ... See full document

... The next result is an immediate consequence of Theorem .. This is crucial to get the existence of at least two distinct weak solutions for the problem (P) in the next section. Theorem . Let X be a real Banach ... See full document

... Recently, boundary value problems of nonlinear fractional differential equations have been addressed by several researchers. Fractional differential equations arise in many en- gineering and scientific ... See full document

... p-Laplacian boundary value problems with p-growth conditions arise in applications of nonlinear elasticity theory, electro-rheological fluids, and in non-Newtonian fluid the- ory of a porous medium ... See full document

... This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the ... See full document

... Abstract. We establish the existence of at least three distinct weak solutions for a fourth-order Sturm-Liouville type problem under appropriate hypotheses. Our main tools are based on variational methods and some ... See full document

... 5 Uniqueness of positive solutions for the singular boundary value problem In this section, we consider the uniqueness of positive solution for BVP (.)-(.). Lemma . (see []) Suppose that E is ... See full document

... This equation arose in the formation of the spatial periodic patterns in bistable sys- tems and is also a model for describing the behaviour of phase fronts in materials that are undergoing a transition between the ... See full document