搜索结果: 1-10 共查到“数学 existence of solutions”相关记录10条 . 查询时间(0.078 秒)
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
Existence of solutions for some nonlinear problems with p-Laplacian like
Existence p-Laplacian like operators Leray-Schauder degree Robin boundary conditions
2011/10/13
The purpose of this paper is to obtain some existence results of solutions for the nonlinear boundary value problems with p-Laplacian like operators by Leray-Schauder degree theory.
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations
degenerate fourth-order parabolic equation separation from singularities long-time behavior
2010/12/8
A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized
by a mobility coefficient that degenerates at 0. Existence of at least one weak solution is proved by usi...
Global existence of solutions for some coupled systems of reaction-diffusion equations
Reaction-Diffusion systems Global Existence Lyapunov Functional
2010/12/14
The aim of this work is to study the global existence of solutions for some coupled systems of reaction diffusion which describe the spread within a population of infectious disease. We consider a tri...
On the existence of solutions of boundary value problems for a class of high order operator-differential equations
Hilbert space existence of generalized solution
2010/9/10
In the paper we give the sufficient conditions on the existence and uniqueness of generalized solutions a boundary value problems of one class of high order operator operator-differential equations at...
Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems with Discontinuous Mappings
Generalized vector quasi-equilibrium problem Upper semi-continuity Lower semi-contin-uity Fixed point Existence
2007/12/12
Let $X,Y$ be two finite-dimensional topological vector spaces, $Z$ a Hausdorff topological vector space, $K\subset X$ and $D\subset Z$ be two nonempty sets, $C$ be a pointed, closed, and convex cone i...
Global Existence of Solutions for the Cauahy Problem of the Kawahara Equation with $L^2$ Initial Data
Kawahara equation Cauchy problem global solution
2007/12/11
In this paper we study solvability of the Cauchy problem of the Kawahara equation $\partial_tu+au\partial_xu+\beta\partial^3_xu+\gamma\partial^5_xu =0$ with $L^2$ initial data. By working on the Bourg...
Global Existence of Solutions for the Kawahara Equation in Sobolev Spaces of Negative Indices
Kawahara equation Cauchy problem global solution almost conservation law
2007/12/11
We first prove that the Cauchy problem of the Kawahara equation, $\partial_tu+u\partial_xu+\beta\partial_x^3u+\gamma\partial_x^5u=0,$ is locally solvable if the initial data belong to $H^{r}(\bf{R})...
The Existence of Solutions to Sturm-Liouville Boundary Value Problems with Laplacian-like Operator
Generalized polar coordinates Laplacian-like operator
2007/12/10
The existence of infinitely many solutions to Sturm-Liouville boundary value problem with a Laplacian-like operator is studied by applying generalized polar coordinates.
By using the perturbation theories on sums of ranges ofnonlinear accretive mappings of Calvert and Gupta, we study theabstract results on the existence of a solution $u \inL^{s}({\it\Omega})$ of nonli...