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[PDF] Top 20 On the stability of the equation with a partial boundary value condition

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On the stability of the equation with a partial boundary value condition

On the stability of the equation with a partial boundary value condition

... However, since there is an unknown term ess sup (x,t)∈ 2 ×(0,T) |u(x, t) – v(x, t)| in (1.12), Theorem 1.3 is far from perfection. The root of the problem lies in that equation (1.1) is with strong nonlinearity, ... See full document

13

The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

... parabolic equation is considered in this ...the boundary, while in other directions they are not degenerate, how to give a suitable partial boundary value condition to match the ... See full document

14

On the evolutionary p Laplacian equation with a partial boundary value condition

On the evolutionary p Laplacian equation with a partial boundary value condition

... the boundary ∂ . Since the nonlinearity, the boundary value condition cannot be portrayed by the Fichera ...a partial boundary value condition is portrayed by a new ... See full document

18

On the stability of the heat equation with an initial condition

On the stability of the heat equation with an initial condition

... the stability of the linear functional ...TM: Stability of Functional Equations in Several ...Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear ... See full document

6

The stability of an equation from mathematical finance without the boundary value condition

The stability of an equation from mathematical finance without the boundary value condition

... the boundary value condition ...the stability of entropy solutions of ...initial value (1.2) can be proved without any boundary value condition ...the ... See full document

17

Uniqueness and stability of solutions without the boundary condition

Uniqueness and stability of solutions without the boundary condition

... parabolic equation, the phenomenon that the solution is free from the limitation of the boundary condition has been studied for a long time, one can refer to [9– ...whole boundary ... See full document

17

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

... suitable boundary value condition of ...suitable boundary value condition related to ...whole boundary value condition ...a partial boundary ... See full document

24

Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions

Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions

... We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order L-stable derivative-free error-corrected trapezoidal rule LSDFECT . Then, we apply LSDFECT rule to the ... See full document

14

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

... suitable boundary value condition is ...The stability of weak solutions, based on the partial boundary value condition, is established by choosing a suitable test ... See full document

18

On a weak solution matching up with the double degenerate parabolic equation

On a weak solution matching up with the double degenerate parabolic equation

... parabolic equation is ...The stability theorem of weak solutions is established independent of the boundary value ...initial value condition is satisfied in a wider ... See full document

13

Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity, A. V. Balakrishnan and Marianna A. Shubov

Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity, A. V. Balakrishnan and Marianna A. Shubov

... complete and general nonlinear theory with particular emphasis given to the fundamentals of the nonlinear behavior has been developed. The theory is intended for applications to long, straight, slender, homogeneous ... See full document

28

Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms

Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms

... Neumann boundary condition, and obtained the bounds for blow-up time of the solution to the initial boundary value problem in a three- dimensional ...Neumann boundary condition ... See full document

18

A boundary value problem for the wave equation

A boundary value problem for the wave equation

... Traditionally, boundary value problems have been studied for elliptic differ- ential ...of boundary value problems for hyperbolic partial differential ...wave equation as a part of ... See full document

11

Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

... operator equation, with spectral parameter-dependent boundary ...the boundary conditions contains partial derivative with respect to ... See full document

22

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

... integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed ... See full document

13

A survey of partial differential equations with piecewise continuous arguments

A survey of partial differential equations with piecewise continuous arguments

... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document

20

Global structure of positive solutions for second order difference equation with nonlinear boundary value condition

Global structure of positive solutions for second order difference equation with nonlinear boundary value condition

... ear boundary value problems has often been connected ...nonlinear boundary value condition, transform it into the equivalent oper- ator equation, and use Dancer’s bifurcation ... See full document

11

Initial boundary value problem with a nonlocal condition for 
            a viscosity equation

Initial boundary value problem with a nonlocal condition for a viscosity equation

... initial-boundary value problems in one space vari- able, which involve an integral over the spatial domain of a function of the desired solution that may appear in a boundary ...heat equation ... See full document

12

A Note on Positivity of One-Dimensional Elliptic Differential Operators

A Note on Positivity of One-Dimensional Elliptic Differential Operators

... nonlocal boundary value problems for partial differ- ential equation can be considered as an abstract boundary value problem for ordinary differ- ential equation in a ... See full document

10

THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

THE HYPERBOLIC SYSTEM OF EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

... nonlocal boundary value problems for partial differential equations can be considered as an abstract boundary value problem for the ordinary differential equation in a Banach space ... See full document

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