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[PDF] Top 20 Uniqueness and stability of solutions without the boundary condition

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Uniqueness and stability of solutions without the boundary condition

Uniqueness and stability of solutions without the boundary condition

... the stability of solutions can be proved without any bound- ary condition, where d = d(x) = dist(x, ∂Ω) is the distance function from the boundary and f (s, x, t) is a Lipschitz ... See full document

17

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition

... etc. Boundary value problems of fractional differential equations have been investigated for many years (see [9, 17, 20, 27, 29, ...of boundary value conditions such as multi-point boundary ... See full document

15

Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method

Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method

... nonlocal boundary conditions,” Nonlinear Analysis, ...integral condition and applications to population dynamics,” Nonlinear Analysis: Theory, Methods & Applications, ... See full document

15

Uniqueness and stability of solutions for a type of parabolic boundary value problem

Uniqueness and stability of solutions for a type of parabolic boundary value problem

... The boundary value problem I.I 1.4 has a unique continuous ]R that depends continuously on initial values, and this solution is solution u: D nonnegt ive.... UNIQUENESS AND STABILITY OF [r] ... See full document

5

Hölder inequality applied on a non Newtonian fluid equation with a nonlinear convection term and a source term

Hölder inequality applied on a non Newtonian fluid equation with a nonlinear convection term and a source term

... the boundary, then the stability of the weak solutions may be proved without the boundary value ...the boundary value, then a partial boundary value condition is ... See full document

21

On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition

On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition

... of solutions of special forms of the equations ...of solutions of special form of ...and uniqueness of solution of nonlinear fractional integrodifferential equa- tions ... See full document

7

Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions

Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions

... positive solutions for the fractional boundary value problem using Krasnoselskii’s fixed point theorem and the Leggett-William’s fixed point ...positive solutions for the boundary value ... See full document

12

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

... Anti-periodic boundary value problems (classical and fractional), recently have received great attention as they occur in the mathematical modeling of a diversity of physical processes (see [2], [3], [4], ... See full document

14

On an electrorheological fluid equation with orientated convection term

On an electrorheological fluid equation with orientated convection term

... the boundary value condition ...the boundary. Accordingly, instead of considering the boundary value condition itself, we would pay a close attention to finding some other conditions to ... See full document

16

On the regularity of solutions of the boundary value problem without initial condition for Schrödinger systems in domain with conical points

On the regularity of solutions of the boundary value problem without initial condition for Schrödinger systems in domain with conical points

... initial boundary value problems for partial differential equations and sys- tems in nonsmooth domains has attracted the attention of many ...the uniqueness and the regularity of solutions of the ... See full document

12

Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions

... Suppose that ϕ(u) = u – φ(u) and ϕ : [, + ∞ ) → [, + ∞ ) is continuous, nondecreasing, positive in (, + ∞ ) and ϕ() = . Thus, for u ≥ v, d(Tu, Tv) ≤ d(u, v) – ϕ(d(u, v)). Finally, take into account that for the zero ... See full document

11

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 ...partial boundary value condition is portrayed by a new way, the ... See full document

18

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

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

... the boundary. If d ≤ 0 when x is near to the boundary, then the stability of the entropy solutions is proved independent of the boundary value ...the boundary can take place of ... See full document

13

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 existence of an entropy solution has been given in [9], we do not repeat it here. The first aim of this paper is, by Kružkov’s bi-variable method, to prove the stability of entropy solutions of Eq. (1.1) ... See full document

17

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

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

... of solutions for positive values of the parameter under the principal eigenvalue of the associated singular eigenvalue ...and uniqueness of an entropy ...weak solutions and the method used in [] ... See full document

14

On the existence and uniqueness of solutions to boundary value problems on time scales

On the existence and uniqueness of solutions to boundary value problems on time scales

... In order to guarantee that r ∆∆ (ρ(c)) exists, both y ∆∆ (t) and [y(σ(t))] ∆ must exist, since r(t) = y(t), y(t) is the inner product of two functions. As remarked in [6], the product of two functions is not necessarily ... See full document

17

Uniqueness of solutions for fourth-order nonlocal boundary value problems

Uniqueness of solutions for fourth-order nonlocal boundary value problems

... whether uniqueness of solutions of (1.1), (1.2) implies uniqueness of solutions of ...whether uniqueness of solutions of ...imply uniqueness of solutions ...of ... See full document

12

Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions

Uniqueness of positive solutions of a class of ODE with nonlinear boundary conditions

... positive solutions of second order ordinary di ff erential equations (ODEs) with linear boundary conditions has been extensively studied in the literature, see Coff- man [1], Henderson and Wang [7], Lan and ... See full document

10

On positive solutions for a class of infinite semipositone problems

On positive solutions for a class of infinite semipositone problems

... In recent years, there has been considerable progress on the study of semipositione problems (F (0) < 0 but finite)(see [2],[3],[6]). Many results have been obtained on kind of infinite semipositone problems; see for ... See full document

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