[PDF] Top 20 Nonlinear conservation laws for the Schrödinger boundary value problems of second order

... where γ ∈ R, p ≥ 1, and the space dimension is no more than three. Problem (1.2) de- scribes a stable soliton which is a wave pulse or wave beam, specially, there are solitons in magnetic materials for p = 1 in 3D space. ... See full document

... Gupta, “Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation,” Journal of Mathematical Analysis and Applications, vol.. Tsamatos[r] ... See full document

... In the present paper we prove existence and uniqueness results for the impulsive bound- ary value problem (.) by using Banach’s contraction mapping principle and Krasnosel- skii’s fixed-point theorem. The rest of ... See full document

... Anti-periodic problems have been studied extensively in recent ...periodic boundary value problems for ordinary differential equations were considered in ...anti-periodic boundary ... See full document

... Under these assumptions, a minimum principle for the solutions u(x) of the nonlinear equation (1.1) follows immediately, that is, u(x) must assume its minimum value on ∂Ω. Sufficient conditions on the data, ... See full document

... the second order nonlinear boundary value ...the second order nonlinear boundary value problem on the semi-infinite interval [, ... See full document

... In this paper, we present a reliable combination of the maximum modulus method with respect to the Schrödinger operator (Meng in J. Syst. Sci. Complex. 16:446–452, 2003) and Phragmén–Lindelöf method (Shehu in ... See full document

... of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract ... See full document

... a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary ...Leray-Schauder nonlinear alternative and ... See full document

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of ... See full document

... “Periodic boundary value problems for second order impulsive di ff erential systems,” Nonlinear Analysis: Theory, Methods & Applications, ...of nonlinear systems of ... See full document

... functional boundary value problems of second-order nonlinear differential equations system at resonance with dim Ker L = 3 and 4, ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... have become the assumptions in the searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres 2, Chu et al. 3, Franco and Torres 4, Jiang et al. 5, and ... See full document

... the boundary value problem ...In order to illustrate the obtained results, we construct several ...associated boundary value problem involving integro-differential equations is studied ... See full document

... the boundary value problems for a coupled system of second-order nonlinear difference equations by using the critical point ... See full document

... of boundary value problems have been studied by many authors ...The boundary conditions model the behavior of a thermostat where the sensor measures the ... See full document

... In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear ... See full document

... that (0) = 0, the so-called -Laplacian operator (see, e.g., [2–4, 7, 13, 15]). Other papers have been devoted to the case of singular or non-surjective operators (see [1, 8, 9]). The -Laplacian operators are involved in ... 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