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[PDF] Top 20 Existence and uniqueness of solutions of Hahn difference equations

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Existence and uniqueness of solutions of Hahn difference equations

Existence and uniqueness of solutions of Hahn difference equations

... Theorem . is called a local existence theorem, because it guarantees the existence of a solution x(t) defined for t ∈ R, which is close to the initial point θ . However, in many situations, a solution will ... See full document

15

Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations

Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations

... In this chapter, we are going to establish the existence and uniqueness of global smooth solutions for the system in 1.5 under a sufficient condition. To derive the sufficient condition, we shall ... See full document

32

Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

... global existence, uniqueness, and stability of strong solutions for the planar magnetohydrodynamic equations for isentropic compressible fluids in the case that vacuum can be allowed ... See full document

14

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

... differential equations, arising in the mathematical modeling of systems and processes, have drawn more and more attention of the research community due to their numerous applications in various fields of science ... See full document

15

Existence and uniqueness of solutions for multi term fractional q integro differential equations via quantum calculus

Existence and uniqueness of solutions for multi term fractional q integro differential equations via quantum calculus

... differential equations and inclusions which are valuable tools in the modeling of many phenomena in various fields of science ...the existence and uniqueness of solutions for the fractional ... See full document

20

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

... In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point ... See full document

19

Existence and uniqueness of solutions for a higher order coupled fractional differential equations at resonance

Existence and uniqueness of solutions for a higher order coupled fractional differential equations at resonance

... the existence of solutions for a higher-order coupled fractional differential equations with the Caputo fractional ...the uniqueness of the solution for the higher-order coupled fractional ... See full document

14

Existence and uniqueness of solutions of higher order antiperiodic dynamic equations

Existence and uniqueness of solutions of higher order antiperiodic dynamic equations

... prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith ∆ - derivatives for i = 1, ... See full document

20

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

... the existence and uniqueness of solutions to fractional differential equations with generalized Caputo fractional derivatives have not been ...differential equations with the above ... See full document

13

Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations

Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations

... the existence and uniqueness of solutions for various equations, including ordinary differential equations, partial differential equa- tions, functional differential equations, and ... See full document

21

The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise

The existence and uniqueness of mild solutions to stochastic differential equations with Lévy noise

... differential equations (NSDEs) with the cylindrical Brownian motion and Lévy noises in an infinite-dimensional Hilbert ...The existence and uniqueness of the mild solutions to these stochastic ... See full document

12

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

... tions, e and g respectively denote the T -periodic and T -periodic in the first argument and T > . However, to the best of our knowledge, most authors mentioned above have only considered the existence of ... See full document

10

Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces

Existence and uniqueness of solutions for a class of nonlinear integro differential equations on unbounded domains in Banach spaces

... the existence and uniqueness of solutions for a class of nonlinear integro-differential equations of mixed type on unbounded domains in Banach spaces are established under more general ... See full document

7

Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions

Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions

... study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point ...The existence is proved by using the ... See full document

16

Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions

Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions

... differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the ... See full document

15

On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations

On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations

... This paper is organized as follows: In Sect. 2, we introduce the definition of vector- valued (N, λ)-periodic discrete functions and show essential properties of this class of se- quences. Section 3 is devoted to studying ... See full document

12

Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations

Global existence and uniqueness of solutions to the three-dimensional Boussinesq equations

... Boussinesq equations has been made (see, ...Boussinesq equations for large initial data, it is natural to consider the blow-up (or regularity) crite- ...Boussinesq equations have been obtained by ... See full document

6

Existence and uniqueness of positive solutions for a fractional differential equation with integral boundary conditions

Existence and uniqueness of positive solutions for a fractional differential equation with integral boundary conditions

... Nowadays, fractional differential equations become more and more important. They play an important role in engineering, science,economics, and so on. More and more people pay attention to the study of theory and ... See full document

8

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

73

Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations

Global homeomorphism and applications to the existence and uniqueness of solutions of some differential equations

... In this paper, the global diffeomorphism theorem due to Zampieri was generalized. The concept of the basin of attraction is the main tool of our exposition in discussing the diffeomorphism between Banach spaces. The ... See full document

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