[PDF] Top 20 Variational Method to the Impulsive Equation with Neumann Boundary Conditions

... of impulsive differential equations, we refer the reader to the classical monograph ...of impulsive differential equations, we refer the reader to ...the method of upper and lower solutions with ... See full document

... second-order impulsive differential equation with non-separated periodic boundary ...the variational method and critical point theory, we give some new criteria to guarantee that the ... See full document

... The proposed method is more accurate and faster than the Gaussian elimination method and that of Thomas. In addition, it completes the work made by Gueye S. Bira [1], where the Dirichlet-Dirichlet problem ... See full document

... They obtained the existence of solutions for problems by using the variational method. Zhang and Yuan [] extended the results in []. They obtained the existence of solutions for problem (.) with a ... See full document

... spline method where B-spline basis functions are defined and these nodes are used to make the residue equal to zero to determine unknowns C ' i s in (2), two extra knot vectors are taken into consideration beside ... See full document

... heat equation subject to both Neumann and Dirichlet initial boundary conditions is presented and a Homotopy Perturbation Method is utilized for solving the ...Perturbation Method ... See full document

... of impulsive differential ...the method of lower and upper solutions with monotone iterative technique 9 to study the existence of solutions for impulsive differential ... See full document

... The boundary integral equation method is a classical method for solving the Neumann ...classical boundary integral equations for the Neumann problem are derived by ... See full document

... numerical method is proposed with Hermite polynomials as trial ...order boundary value problem with two different cases of boundary conditions, in details, in Section ...of Neumann ... See full document

... numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary ...This method is a combination of collocation ... See full document

... of boundary value problems with integral boundary con- ditions for ordinary differential equations arises in different areas of applied mathemat- ics and ...tegral boundary conditions. For ... See full document

... point boundary value problem and so on (see for example, [, ] and references ...for impulsive boundary value problems (IBVP) on the half-line has been studied by many authors ...following ... See full document

... compatibility conditions. Under these assumptions, the classical parabolic equation the- ory [, Section ] ensures that there exists a unique classical solution u(x, t) to problem ... See full document

... established conditions on nonlinearities sufficient to guarantee that u(x, t) exists for all time t >  or blows up at some finite time t ∗ ...restrictive conditions, a lower bound for t ∗ was ... See full document

... Impulsive differential equations serve as basic models to study the dynamics of processes that are subject to sudden changes in their states. Recent development in this field has been motivated by many applied ... See full document

... Impulsive differential equations, which provide a natural description of observed evolu- tion processes, are regarded as important mathematical tools for a better understanding of several real world problems in the ... See full document

... differential equation is the finite element method ...differential equation completely or rendering the partial differential equation into an approximating system of ordering differential ... See full document

... In the meantime, many very interesting and significant cases of BVPs are constituted by integral boundary conditions. They include two-, three-, multi-point, and nonlocal BVPs as special cases. Therefore, in ... See full document

... Similarly the scattered field from a strip under Dirichlet Boundary Conditions is the negative of the diffracted field through the slit with Neumann Boundary Conditions on the conducting[r] ... See full document

... This paper is organized in 4 sections. In Section 2, we discuss derivative-free error- corrected trapezoidal rule. In Section 3 we derive L-stable version of derivative free error corrected trapezoidal rule and discuss ... See full document