Initial–Boundary Value Problem for a Three-Dimensional Equation of the Parabolic-Hyperbolic Type

Differential Equations - We study an initial–boundary value problem for an equation of the mixed parabolic-hyperbolic type in a rectangular parallelepiped. A uniqueness criterion is...     

Nonlinear Periodic Boundary Value Problem for Second Order Integro-differential Equations of Volterra Type

The periodic boundary value problem for a class of second order nonlinear integro-differential equations are disussed by using the monotone iterative technique. The open problem raised by Lakshmikantham in 1986 is solved.     

Robin Boundary Value Problem for One-Dimensional Landau–Lifshitz Equations

In this paper, we are concerned with the existence and uniqueness of global smooth solution for the Robin boundary value problem of Landau-Lifshitz equations in one dimension when the boundary value depends on time t. Furthermore, by viscosity vanishing approach, we get the existence and uniqueness of the problem without Gilbert damping term when the boundary value is independent of t.     

Solvability of Boundary Value Problems for Some Functional Differential Equations

This paper considers the following boundary value problems for functional differential equations: x' (t) = f(t, xt) (0相似文献   

On Systems of Boundary Value Problems for Differential Inclusions

Herein we consider the existence of solutions to second-order, two-point boundary value problems （BVPs） for systems of ordinary differential inclusions. Some new Bernstein-Nagumo conditions are presented that ensure a priori bounds on the derivative of solutions to the differential inclusion. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of BVPs for differential inclusions. The new conditions allow of the treatment of systems of BVPs without growth restrictions.     

On the Existence of Solutions for a Class of Singular Boundary Value Problem

ＯｎｔｈｅＥｘｉｓｔｅｎｃｅｏｆＳｏｌｕｔｉｏｎｓｆｏｒａＣｌａｓｏｆＳｉｎｇｕｌａｒＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍＺｈａｎｇＺｈｉｊｕｎ（张志军）ＸｉａｏＬｉ（萧礼）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＮｏｒｔｈｗｅｓｔＮｏｒｍａｌＵｎｉｖｅｒ...     

Boundary Value Problems for First Order Stochastic Differential Equations

In this paper, we present a new technique to study nonlinear stochastic differential equations with periodic boundary value condition （in the sense of expectation）. Our main idea is to decompose the stochastic process into a deterministic term and a new stochastic term with zero mean value. Then by using the contraction mapping principle and Leray-Schauder fixed point theorem, we obtain the existence theorem. Finally, we explain our main results by an elementary example.     

Boundary Value Problems for Singular Second-Order Functional Differential Equations

Abstract Positive solutions to the boundary value problem, y'=-f(x,y(w(x)) 0相似文献   

Initial Boundary Value Problem for One Class of System of Multidimensional Nonlinear Schrodinger-Boussinesq Type Eequations

§1.Introduction In laser-plasma nonlinear interactions, the poblems of solution for oneclass of system of nonlinear Schrodinger-Boussinesq type equations in onedimension have been studied in〔1,2〕. In〔3〕 a class of multidimensionalnonlinear Boussinesq type has been proposed. Under some conditions, wehave proved the existence and uniquenss of the global solution for one     

Existence of Solutions of an m－point Boundary Value Problem for Second Order Ordinary Differential Equations

ＥｘｉｓｔｅｎｃｅｏｆＳｏｌｕｔｉｏｎｓｏｆａｎ　ｍ－ｐｏｉｎｔＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍｆｏｒＳｅｃｏｎｄＯｒｄｅｒＯｒｄｉｎａｒｙＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓＺｈａｎｇＴｈｂａｏ（张福保）（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｓ...     

The Initial Boundary Value Problem for Symmetric Long Wave Equations with Nonhomogeneous Boundary Value

Ｔｈｅ　Ｉｎｉｔｉａｌ　Ｂｏｕｎｄａｒｙ　Ｖａｌｕｅ　Ｐｒｏｂｌｅｍ　ｆｏｒ　Ｓｙｍｍｅｔｒｉｃ　Ｌｏｎｇ　Ｗａｖｅ　Ｅｑｕａｔｉｏｎｓ　ｗｉｔｈ　Ｎｏｎｈｏｍｏｇｅｎｅｏｕｓ　Ｂｏｕｎｄａｒｙ　ＶａｌｕｅＭｉａｏＣｈｃｎｘｉａ（苗晨霞）（Ｉｎｓｔｉ...     

Boundary Value Problems for Nonlinear Differential Equations of Second Order inBanach Spaces

ＢａｎａｃｈＳｐａｃｅｓＢｏｕｎｄａｒｙＶａｌｕｅＰｒｏｂｌｅｍｓｆｏｒＮｏｎｌｉｎｅａｒＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓｏｆＳｅｃｏｎｄＯｒｄｅｒｉｎＢａｎａｃｈＳｐａｃｅｓＣｕｉＣｈａｎｇｊｕｎＬｉｕＹａｎｓｈｅｎｇ（Ｄｅｐｔ．ｏｆＭａ...     

On Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Functional Difference Equations

In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions to second order periodic boundary value problems and periodic solutions of functional difference equations. We obtain some new results under the lower solution a and upper solution βwith α≤β.     

Modified Tricomi Problem for a Nonlinear System of Second Order Equations of Mixed Type

ＭｏｄｉｆｉｅｄＴｒｉｃｏｍｉＰｒｏｂｌｅｍｆｏｒａＮｏｎｌｉｎｅａｒＳｙｓｔｅｍｏｆＳｅｃｏｎｄＯｒｄｅｒＥｑｕａｔｉｏｎｓｏｆＭｉｘｅｄＴｙｐｅＳｕｎＨｅｓｈｅｎｇ（孙和生）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓａｎｄＣｏｍｐｕｔａ...     

Boundary Value Problems for Nonlinear Implicit Caputo–Hadamard-Type Fractional Differential Equations with Impulses

In this paper, the authors establish the existence and uniqueness of solutions for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and Caputo–Hadamard type fractional derivatives. The stability of this problem is also studied. The arguments are based on the Banach contraction principle and Schaefer’s fixed point theorem. Two examples are presented to show the applicability of the results.