[PDF] Top 20 BOUNDARY-VALUE PROBLEMS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS

... role in mathematics and applied sciences. The studies of boundary value problems with a spectral parameter in the boundary conditions ... See full document

... Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects, ...Differential Equations 23(1987), ... See full document

... differential equations. It shares some resemblances with FEM, as both deal with weak forms ...(i.e., the original PDE of a given order is restated as an integral expression involving ... See full document

... In the last two decades, there has been much attention focused on questions of positive solutions for diverse nonlinear ordinary differential equation, difference equation, and functional ... See full document

... differential equations is mainly centered on first or- der initial value problems [3, ...to the versatility of boundary value problems for the second ... See full document

... that the proposed method is simple and provides a very high accurate estimate of the ...solution. The method can solve nonlocal boundary value problems very ...easily. In ... See full document

... Dirichlet-Dirichlet boundary value problem (the problem with the Dirichlet boundary conditions at both ends) and Dirichlet-Neumann boundary problem (the ... See full document

... that second order neutral functional difference equations have ap- plications in problems dealing with vibrating masses attached to a elastic ball and in some ... See full document

... results in various fields such as, for instance, in atmospheric physics, wave propagation and transport ...theory. In Control Theory it is used [16, 4] to obtain the decoupling of systems ... See full document

... On the other hand, impulsive differential equations serve as basic models to study the dynamics of processes that are subjected to sudden changes in their ...occur in control theory, ... See full document

... for the description of memory and hereditary properties of various materials and ...of the fractional derivatives make the fractional-order models more realistic and practical than the ... See full document

... use the technique of invariant embedding ([3]), in order to factorize a second order elliptic boundary value problem in a system of uncoupled first order ... See full document

... for the solution of the FS equation, see for example Hartree (1937), Asaithambii (1997), Asaithambi (1998, 2004b, 2005), Abbasbandy (2007), Alizadeh et ...(2009). The most widely used and ‘classical’ ... See full document

... Later, inspired by the above result, Zhang studied in [21] system (1.4) for a different range of exponents to those in [12]. Indeed, he proved that for α, β, r, s < 0 satisfying some appropriate ... See full document

... Abstract. In this paper we study a class of one-dimensional Dirichlet boundary value prob- lems involving the Caputo fractional ...derivatives. The existence of infinitely many solutions ... See full document

... discussed in this paper does not have an immediate ...experiment the numerical methods and their algorithm, in order to obtain the numerical optimization of composite ...structures. ... See full document

... that the pendulum begin with angle π/4 and with no initial ...velocity. The command ode45() returns a vector of times t, a matrix of dependent variables x, the time at which the ... See full document

... of the present paper shows that the decay estimates ...1/2). In other words, this means that singular rank one perturbations destroy these decay estimates if l ∈ (0, 1/2) (since the change of ... See full document

... goal in this work is to give some existence results when the right- hand side multi-valued nonlinearity can be either convex or ...together in Section 2. In the Section 3, we give an ... See full document

... [r] ... See full document