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On Boundedness of Solutions of the Difference Equation  for

On Boundedness of Solutions of the Difference Equation for

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 463169, 11 pages doi 10 1155/2009/463169 Research Article On Boundedness of Solutions of the Difference Equation[.] ... See full document

11

Trichotomy of nonoscillatory solutions to second order neutral difference equation with quasi difference

Trichotomy of nonoscillatory solutions to second order neutral difference equation with quasi difference

... 6. Schmeidel, E: Asymptotic behavior of certain second order nonlinear difference equations. In: Elaydi, S, Ladas, G, Aulbach, B, Do˘sly, O (eds.) Proceedings of the Eighth International Conference on Difference Equations ... See full document

14

Local Regularity and Local Boundedness Results for Very Weak Solutions of Obstacle Problems

Local Regularity and Local Boundedness Results for Very Weak Solutions of Obstacle Problems

... local boundedness, we can further study the regularity of the ...local boundedness results of weak solutions of nonlinear elliptic equations, we refer the reader to ...weak solutions and show ... See full document

12

On the Solutions of Difference Equation Systems with Padovan Numbers

On the Solutions of Difference Equation Systems with Padovan Numbers

... Nonlinear difference equations have long interested re- searchers in the field of mathematics as well as in other ...nonlinear difference equations from several authors ...the solutions of two ... See full document

6

Global Analysis of Solutions of a New Class of Rational Difference Equation

Global Analysis of Solutions of a New Class of Rational Difference Equation

... Thus, the solution is bounded and persists and the proof is complete. □ Conclusion 1. In this paper , we study a asymptotic behavior of solutions of a general class of difference Equation (1.1). Our ... See full document

9

L2 regularity of measurable solutions of a finite difference equation of the circle

L2 regularity of measurable solutions of a finite difference equation of the circle

... L2 regularity of measurable solutions of a finite-difference equation of the circle† MICHAEL ROBERT HERMAN Mathematics Institute, Warwick University, UK and Centre de Mathematiques, Ecol[r] ... See full document

6

Solutions of the third order Cauchy difference equation on groups

Solutions of the third order Cauchy difference equation on groups

... Guo and Li Advances in Difference Equations 2014, 2014 203 http //www advancesindifferenceequations com/content/2014/1/203 R ES EARCH Open Access Solutions of the third order Cauchy difference equatio[.] ... See full document

14

Boundedness of solutions for a class of second-order differential equation with singularity

Boundedness of solutions for a class of second-order differential equation with singularity

... where V (x, t) satisfies some growth conditions and V(x, t) = V (x, t +). The author reduced the system to a normal form and then applied Moser twist theorem to prove the existence of quasi-periodic solution and the ... See full document

15

Boundedness of solutions for semilinear Duffing’s equation with asymmetric nonlinear term

Boundedness of solutions for semilinear Duffing’s equation with asymmetric nonlinear term

... (, p), φ(t, ¯ x) has limits φ ± (t) and the similar property to f (x, t) in []. Then the authors proved the boundedness of solutions for (.). We observe that φ(x, t) in [] is unbounded while f (x, t) ... See full document

15

On the boundedness of the solutions in nonlinear discrete Volterra difference equations

On the boundedness of the solutions in nonlinear discrete Volterra difference equations

... In this article, we investigate the boundedness property of the solutions of linear and nonlinear discrete Volterra equations in both convolution and non-convolution case. Strong interest in these kind of ... See full document

20

On the Periodic Nature of Solutions to the Reciprocal Difference Equation with Maximum

On the Periodic Nature of Solutions to the Reciprocal Difference Equation with Maximum

... Since the log version of the positive case is continuous (in general nonexpansive implies continuous) the result that the ω-limit set is finite implies that if P = |ω(x; f )|, then all y ∈ ω(x; f) are periodic with ... See full document

109

Solutions of the nth order Cauchy difference equation on groups

Solutions of the nth order Cauchy difference equation on groups

... which becomes the motivation of this paper. Remark that equation (.) for free group with just one generator has been solved in []. In our paper, the purpose is to determine all solutions to ... See full document

19

An application of measures of noncompactness in the investigation of boundedness of solutions of second order neutral difference equations

An application of measures of noncompactness in the investigation of boundedness of solutions of second order neutral difference equations

... this equation are ...this equation are studied. Additionally, the Emden-Fowler difference equation is considered as a special case of the above ... See full document

9

Existence of positive solutions for Caputo fractional difference equation

Existence of positive solutions for Caputo fractional difference equation

... positive solutions for fractional difference ...difference equation boundary value ...positive solutions for the boundary value problem of the Caputo fractional difference equation ... See full document

12

On stability and boundedness of solutions of a certain 
			fourth order delay differential equation

On stability and boundedness of solutions of a certain fourth order delay differential equation

... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ... See full document

14

Boundedness and vanishing of solutions for a forced delay dynamic equation

Boundedness and vanishing of solutions for a forced delay dynamic equation

... all solutions of a time-scale first-order nonlinear vari- able-delay dynamic equation with forcing term are bounded and vanish at infinity, for arbitrary time scales that are unbounded ... See full document

19

Weak homoclinic solutions of anisotropic difference equation with variable exponents

Weak homoclinic solutions of anisotropic difference equation with variable exponents

... homoclinic solutions for the problem ...for solutions u of the problem ...homoclinic solutions for the problem ...homoclinic solutions where stud- ied in particular by the authors in ... See full document

13

Existence of periodic solutions for a higher order neutral difference equation

Existence of periodic solutions for a higher order neutral difference equation

... differential equation and difference equation has impor- tant academic value and application ...periodic solutions of neutral difference equations are relatively few (see [7, ... See full document

8

On Homoclinic Solutions of a Semilinear  Laplacian Difference Equation with Periodic Coefficients

On Homoclinic Solutions of a Semilinear Laplacian Difference Equation with Periodic Coefficients

... Our next example is 3.3, known as stationary Ginzubrg-Landau equation with cubic-quintic nonlinearity. We refer to 18, 19 and references therein. From physical point of view it is interesting the case bk b, ck c, ... See full document

17

Rate of convergence of solutions of rational difference equation of second order

Rate of convergence of solutions of rational difference equation of second order

... Equation (1.3) was studied in detail in [7, 10], where we have found the region of param- eters for which the equilibrium is globally asymptotically stable and the region where the equation has a unique ... See full document

19

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