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differential-difference equations

Rational Recursion Operators for Integrable Differential–Difference Equations

Rational Recursion Operators for Integrable Differential–Difference Equations

... for difference and rational (pseudo–difference) operators with coefficients in a difference field F and study their ...of difference operators from a preHamiltonian ...integrable ...

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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

... finite difference method to solve singularly perturbed differential- difference equations with layer ...finite difference approximation for second order derivative, a modified second ...

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Darboux transformations and Recursion operators for differential--difference equations

Darboux transformations and Recursion operators for differential--difference equations

... The aim of this paper is to give a comprehensive account of multi-Hamiltonian structures, recursion op- erators and Darboux-Lax representations for a wide class of integrable di ff erential-di ff erence equations. ...

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Analytical solution of a class of coupled second order differential difference equations

Analytical solution of a class of coupled second order differential difference equations

... By means of the concept of co-solution of certain algebraic equations associated to the problem, an analytical solution of initial value problems for coupled systems of second order diff[r] ...

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Entire solutions of certain class of differential difference equations

Entire solutions of certain class of differential difference equations

... differential equations in the complex plane C, it is always an interesting and quite difficult problem to prove the existence or uniqueness of the entire or meromorphic solution of a given ...difference ...

9

Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations

Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations

... 9. Liu, K., Liu, X., Cao, T.B. : Value distribution of the difference opera- tor, Advances in Difference equations, Vol.2011, Art ID 234215,12 pages. 10. Yang, C.C., Hua, X.H.: Uniqueness and value ...

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Existence of entire solutions of some non linear differential difference equations

Existence of entire solutions of some non linear differential difference equations

... Case  and Case , similarly to the proof of the Case  and Case  of [], Theorem ., we can also obtain . has no transcendental entire solutions of finite order.. Substituting . i[r] ...

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Summing series arising from integro-differential-difference equations

Summing series arising from integro-differential-difference equations

... The zeros of this equation are well documented and since many research papers have been interested in the stability of the solution of the differential-difference equation[r] ...

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Applications of differential difference equations

Applications of differential difference equations

... A P P 1 I CAT ION S 0 F D IFF ERE N C E D IFF ERE N T I A 1 E QUA T ION S A thesis submitted for the degree of MASTER OF SC IENCE at the Australian National University, Canberra by Noel Gregory CRASKE[.] ...

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OSCILLATION OF A CLASS OF THIRD ORDER GENERALIZED FUNCTIONAL DIFFERENCE EQUATION

OSCILLATION OF A CLASS OF THIRD ORDER GENERALIZED FUNCTIONAL DIFFERENCE EQUATION

... Difference equations usually occur due to certain phenomena over time, and it play an important role in describing discrete dynamical systems ...[1]. Difference equation and their associated ...

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Finding Differential Transform Using Difference Equations

Finding Differential Transform Using Difference Equations

... ordinary differential/difference ...the differential transform are ...the differential transform. We particularly look into the differential transform of certain quotients of ...the ...

6

Feynman Formulas Representation of Semigroups  Generated by Parabolic Difference Differential Equations

Feynman Formulas Representation of Semigroups Generated by Parabolic Difference Differential Equations

... [1], differential- difference Equation (1) concerns to type mixed diffe- rential-difference equation without a deviation on ...parabolic differential-difference the equations ...

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Multiple solutions of ordinary differential systems with min max terms and applications to the fuzzy differential equations

Multiple solutions of ordinary differential systems with min max terms and applications to the fuzzy differential equations

... differential equations are popular models to approach various phenomena in the real world when the conditions/hypotheses are ...differential equations [–] and stochastic fuzzy differential equations ...

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Properties of interval valued function space under the gH difference and their application to semi linear interval differential equations

Properties of interval valued function space under the gH difference and their application to semi linear interval differential equations

... The conventional subtraction arithmetic on interval numbers makes studies on interval systems difficult because of irreversibility on addition, whereas the gH-difference as a popular concept can ensure interval analysis to ...

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A new non-standard finite difference method for autonomous differential equations

A new non-standard finite difference method for autonomous differential equations

... by differential equations, for which analytical so- lutions are not always easy to ...these differential equations ...finite difference methods, spline ...

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Some Results on the Drazin Inverse of a Modified Matrix with New Conditions

Some Results on the Drazin Inverse of a Modified Matrix with New Conditions

... singular differential equations and difference equations, to Morkov chains and iterative methods, to cryptography, to numerical analysis, to structured matrices and to perturbation bounds for ...

7

On the multiple scale analysis for some linear partial q difference and differential equations with holomorphic coefficients

On the multiple scale analysis for some linear partial q difference and differential equations with holomorphic coefficients

... This work is devoted to the study of a family of linear q-difference-differential problems in the complex domain. It can be arranged into a series of works dedicated to the asymp- totic study of holomorphic solutions to ...

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Growth of meromorphic solutions of certain types of q difference differential equations

Growth of meromorphic solutions of certain types of q difference differential equations

... 3. Beardon, AF: Entire solutions of f(kz) = kf (z)f (z). Comput. Methods Funct. Theory 12(1), 273-278 (2012) 4. Goldstein, R: Some results on factorization of meromorphic functions. J. Lond. Math. Soc. 4(2), 357-364 ...

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New applications of the variational iteration method   from differential equations to q fractional difference equations

New applications of the variational iteration method from differential equations to q fractional difference equations

... 7. Atici, FM, Eloe, PW: Linear systems of fractional nabla difference equations. Rocky Mt. J. Math. 41, 353-370 (2011) 8. Al-Salam, WA: Some fractional q-integrals and q-derivatives. Proc. Edinb. Math. Soc. 15, ...

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Partial Differential and Difference Equations

Partial Differential and Difference Equations

... and our general problem will be to determine sufficient conditions on the ars under which solutions of the difference equations will converge to the solutions of corresponding partial di[r] ...

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