[PDF] Top 20 On boundary value problems for second-order discrete inclusions

... differential inclusions has received much attention due to its versatility and ...erential inclusions can accurately model discontinuous pro- cesses, such as systems with dry friction; the work of an ... See full document

... Remark 4.2 Some ideas of dealing with parameters in Theorem 3.1 come from Theorems 2.1–2.4 in [51], but there are very few papers in the literature considering the multiplicity of positive solutions for ... See full document

... a second-order bound- ary value problem with respect to the Schrödinger equation, in this paper we consider the conservation laws for a second-order boundary value ... See full document

... studying boundary value problems for nonlinear differential equations; see 1 and the references ...to boundary value problems of functional differential equations ...periodic ... See full document

... techniques, we study the global behavior of the components of nodal solutions of 1.8, 1.9 and give a positive answer to the above question. However, when m-point boundary value condition 1.9 is concerned, ... See full document

... first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary ...integral boundary value ... See full document

... [18] V. A. Yurko, The inverse spectral problem for differential operators with nonseparated boundary conditions, J. Math. Anal. Appl. 250 (2000) 266 − 289. [19] V. A. Yurko, An inverse spectral problem for ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... See full document

... We have used iterates of nonlinearity of order 2 when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave. We develop two sequences depending on the type of the lower and upper solutions, which ... See full document

... , where τ(t) : = t, ∀ t ∈ T . (2.14) A function x : [a,σ (b)] → R is said to be a solution of the problem (1.2) provided x is Δ- di ff erentiable Δ -a.e. on [a, σ(b)), x Δ is ∇ -di ff erentiable Δ ∇ -a.e. on (a,b], x Δ ∇ : ... See full document

... of boundary value problems of nonlinear fractional integro-differential equations and inclusions of arbitrary order with initial and non-separated boundary ... See full document

... The organization of this paper is as follows. In Section , we state some notations and preliminary knowledge about the topological degree theory and fixed point index theory. In Section , we present the spectrum of ... See full document

... study discrete Green’s functions and their relationship with discrete Laplace ...to discrete Green’s function with a high accuracy analysis of the three-dimensional block finite element ... See full document

... applied problems of mechanics, for instance in reaction drift diffusion processes of electrically charged species phase transition processes and trans- port processes in porous ...of boundary value ... See full document

... In accordance with the method in the proof of Theorem 3.2, we can prove that the boundary value problem (3.20), (3.21) has a unique solution u x   . Denote by u x     T u x     the mapping from ... See full document

... the second order boundary value problems with integral boundary conditions in which the nonlinearities ft, xt are allowed to have the singularities in t and are not Lebesgue ... See full document

... s ≥ for all r Î [a, b] and s ≠ 0. In the celebrated study [4], Rabinowitz established Rabinowitz’s global bifurcation theory [[4], Theorems 1.27 and 1.40]. However, as pointed out by Dancer [5,6] and López-Gómez [7], the ... See full document

... of second-order lin- ear difference equations subject to the boundary conditions (BC), and we present the prop- erties of the corresponding Green ... See full document

... other boundary value problems with different boundary conditions, including, as particular cases, the classical periodic, Neumann, and Sturm–Liouville problems, but involving the ... See full document

... and multiplicity of positive solutions under Dirichlet boundary value condition. In 2006, Afrouzi and Brown [3] also obtained the similar results by using the mountain pass theorem. When f is concave-convex ... See full document