共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
Le Thi Phuong Ngoc Nguyen Anh Triet Nguyen Thanh Long 《Nonlinear Analysis: Real World Applications》2010,11(4):2479-2501
In this paper, we consider the following nonlinear Kirchhoff wave equation (1) where , , , , , are given functions and . First, combining the linearization method for nonlinear term, the Faedo–Galerkin method and the weak compact method, a unique weak solution of problem (1) is obtained. Next, by using Taylor’s expansion of the function around the point up to order , we establish an asymptotic expansion of high order in many small parameters of solution. 相似文献
3.
《Applied Mathematics Letters》2006,19(4):307-313
In this work, multi-soliton solutions of the coupled Ramani equations are derived and expressed using Pfaffians in a compact form. 相似文献
4.
《Communications in Nonlinear Science & Numerical Simulation》2010,15(5):1132-1147
Complete symmetry analysis is presented for non-linear Klein Gordon equations . A group classification is carried out by finding that give larger symmetry algebra. One-dimensional optimal system is determined for symmetry algebras obtained through group classification. The subalgebras in one-dimensional optimal system and their conjugacy classes in the corresponding normalizers are employed to obtain, up to conjugacy, all reductions of equation by two-dimensional subalgebras. This is a new idea which improves the computational complexity involved in finding all possible reductions of a PDE of the form to a first order ODE. Some exact solutions are also found. 相似文献
5.
6.
We consider the system of nonlinear wave equations with initial and Dirichlet boundary conditions. Under some suitable assumptions on the functions, , , , parameters and the initial data, the result on blow-up of solutions and upper bound of blow-up time are given. 相似文献
7.
This paper considers the IBVP of the Rosenau equation It is proved that this IBVP has a unique global distributional solution as initial data with . This is a new global well-posedness result on IBVP of the Rosenau equation with Dirichlet boundary conditions. 相似文献
8.
For each , , we prove the existence of a solution of the singular discrete problem where for . Here , , , is continuous and has a singularity at . We prove that for the sequence of solutions of the above discrete problems converges to a solution of the corresponding continuous boundary value problem 相似文献
9.
Positive solution of fourth order ordinary differential equation with four-point boundary conditions
《Applied Mathematics Letters》2006,19(2):161-168
In this work, the authors consider the fourth order nonlinear ordinary differential equation with the four-point boundary conditions where . By means of the upper and lower solution method and fixed point theorems, some results on the existence of positive solutions to the above four-point boundary value problem are obtained. 相似文献
10.
11.
12.
13.
14.
15.
16.
17.
19.