uniqueness of solutions
Existence and uniqueness of solutions of higher order antiperiodic dynamic equations
... and uniqueness of solutions of the dynamic equations of first- and second-order, respectively; likewise, we will give details about the continuous case where a dynamic equation is a di ff erential equation ...
20
Existence and uniqueness of solutions of Hahn difference equations
... This article was devoted to establish the method of successive approximations in prov- ing the existence and uniqueness of solutions of the initial value problems associated with Hahn difference operators. ...
15
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM
... Arguments in this paper are based on a contraction mapping theorem and Brouwer fixed point theorem for Banach spaces. Conditions for the existence and uniqueness of solutions for the fractional order ...
14
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 ...
12
Existence and uniqueness of solutions for a semilinear elliptic system
... We consider the existence, the nonexistence, and the uniqueness of solutions of some special systems of nonlinear elliptic equations with boundary conditions. In a particu- lar case, the system reduces to ...
17
The Existence and Uniqueness of Solutions for Mean Reverting γ Process
... In the next section, we first prove the existence and uniqueness of the solution of Equation (1.1) when γ ≥ 1 . In section three, we consider the existence and non-negative of the solution of Equation (1.1) when γ ...
7
Local existence and uniqueness of solutions of a degenerate parabolic system
... obtained as the limit of the solutions of such problems. Executing this program one encounters two difficulties. The first is proving that the approximating problems which are nondegenerate admits a solution, the ...
11
Existence and uniqueness of solutions for random impulsive differential equation
... the solutions of the differential systems are stochastic ...of solutions to these models by Liapunov’s direct function in ...and uniqueness of random impulsive differential system by relaxing the ...
6
Existence and uniqueness of solutions for nonlocal p Laplacian problems
... The special case of problem (1.1) when p = 2 has been considered in [1], and [14]. In the former, the authors impose conditions on the functions M and f so that it is possible to settle the issue of existence of ...
10
On the existence and uniqueness of solutions to boundary value problems on time scales
... given in the proof of Theorem 3.2. To show that T has a fixed point, consider equation (3.27). Define an open, bounded subset of the Banach space S by Ω = { y ∈ S : y < ME + N + 1 } , where here · is the sup norm, E ...
17
Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
... dierential equations that model steady-state combined radiative-conductive heat transfer. Our approach uses two dierent formulations of the system as a compact xed-point problem. One formulation, which has been used in ...
11
Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem
... This paper was mainly devoted to the study of one kind of nonlinear Schrödinger differen- tial equations. Under the integrable boundary value condition, the existence and unique- ness of the solutions of this ...
13
A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities
... Not all of Condition II will be needed to prove sufficiency, and as in the the first order case, we show that our solution actually satisfies a much sharper estimate than 1.2.. However, [r] ...
18
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the coupled fixed point ...
7
Existence of nonoscillatory solutions for fractional neutral functional differential equation
... Fractional calculus is a subject involving non-integer order derivatives and integrals. It has many applications in different fields such as physics, chemistry, mechanics, engineering etc. There have been many books on ...
8
Stochastics integral equations with respect to semimartingales
... Existence and Uniqueness of Solutions 1.1 Introduction 1.2 Basic Setting and Assumptions 1.3 Existence and Uniqueness of Solutions 1.4 Generalizations 1.5 Applications to Doleans-Dade's [r] ...
149
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
... of uniqueness of strong ...and uniqueness of solutions of the Navier-Stokes equa- tions for isentropic compressible ...weak solutions without uniqueness if the compatibility conditions ...
14
“Irregularization” of systems of conservation laws
... of solutions containing defects. To obtain uniqueness, one must impose additional conditions upon the solution, presumably corre- sponding to the microphysics not accounted for by the continuum ...
13
Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
... and uniqueness of solutions for various equations, including ordinary differential equations, partial differential equa- tions, functional differential equations, and so ...positive solutions for ...
21
Uniqueness and stability of solutions without the boundary condition
... The uniqueness of solutions for a conservation law equation only holds in the sense of the entropy solution ...weak solutions is based on the uniqueness of the weak ...
17