[PDF] Top 20 On the boundedness of the solutions in nonlinear discrete Volterra difference equations
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On the boundedness of the solutions in nonlinear discrete Volterra difference equations
... the solutions of both convolution and non-convolution-type linear and nonlinear Volterra difference equations (see [1-17] and references ...the solutions of the discrete ... See full document
20
Stability and boundedness of solutions of certain nonlinear delay differential equations of second order
... and boundedness of solutions of ...of boundedness, stability and convergence of solutions results have been established by [4], [7], [12] and ... See full document
12
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
Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
... Delay discrete inequalities with more than one nonlinear term are discussed, which generalize some known results and can be used in the analysis of various problems in the theory of certain classes of ... See full document
14
Lagrangian Stability of a Class of Second-Order Periodic Systems
... where ϕx ox as |x| → ∞ and et is a 2π-periodic function. After introducing new variables, the differential equation 1.3 can be changed into a Hamiltonian system. Under some suitable assumptions on ϕx and et, by using a ... See full document
18
On Volterra inequalities and their applications
... the boundedness, stability and uniqueness solutions of certain nonlinear integral equations, and value boundary prob- lems for nonlinear hyperbolic partial differential ...the ... See full document
18
Some Volterra Fredholm type nonlinear discrete inequalities involving four iterated infinite sums
... generalized Volterra-Fredholm type discrete inequalities involving four iterated infinite sums with the right-hand side denoted by an arbitrary function φ(u), which are of more general ...the ... See full document
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On nonlinear discrete weakly singular inequalities and applications to Volterra type difference equations
... Some nonlinear discrete weakly singular inequalities, which generalize some known results are ...on solutions to nonlinear Volterra-type difference equations are ...in ... See full document
13
Volterra Discrete Inequalities of Bernoulli Type
... some discrete generalizations of the results of Gronwall 5. The discrete analogue of the result of Bihari 13 was partially given by Hull and Luxemburg 14 and was used by them for the numerical treatment of ... See full document
11
Boundedness and stability of discrete Volterra equations
... of solutions of linear and nonlinear discrete Volterra equations was also studied by Crisci et ...linear Volterra difference equations, of both convolution and ... See full document
11
Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... of nonlinear Volterra-Hammerstein integral ...obtained discrete solutions using the STHW are found to be very accurate and are compared with the exact solutions of the nonlinear ... See full document
5
Stability of the positive steady state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay
... Recently, many mathematicians have approachedsome problems of (1.10). See, e.g., Karakostas, Philos andSficas [6], Kiventidis [8], Kocic andLadas [9, 10], Kuruklis and Ladas [11], and Rodrigues [12], etc. In [14, 15, 16, ... See full document
10
On multiplicity of solutions to nonlinear partial difference equations with delay
... a discrete analog of neutral delay partial differential ...Such equations appear frequently in random walk problems, molecular orbit structures, dynamical systems, economics, biology, population dynamics, ... See full document
12
On the existence and uniqueness of \((N,\lambda )\) periodic solutions to a class of Volterra difference equations
... λ)-periodic discrete functions. This type of sequences is the discrete ver- sion of the vector-valued (ω, c)-periodic functions introduced in ...λ)-periodic discrete function if there exist N ∈ Z + ... See full document
12
Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay
... from hull. For a similar result for the integro-differential equation 1.1, see 1, Theorem 1. Yoshizawa showed the existence of asymptotically almost periodic solution by stability under disturbances from hull for the ... See full document
15
Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
... where R ( z , w ) is irreducible and rational in w and meromorphic in z . This is a natural idea which comes from the topic on the growth, value distribution and unicity on the meromorphic solutions to ... See full document
8
EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY
... Special cases of the above equation have been recently considered. Particularly, when c (t) = 0, the authors in [1] have obtained an existence of periodic solutions result of (1.1) by means of ... See full document
14
Discrete Pseudo Almost Periodic Solutions for Some Difference Equations
... This work is organized as follows. In Section , we consider geometrical properties of the shift operator in general case and, we deal with the properties of shift operator the spaces of almost periodic and on ergodic ... See full document
10
Stability Criteria of Solutions for Stochastic Set Differential Equations
... differential equations (SDEs) has been studying in a very abstract ...differential equations (SFDEs), (see ...differential equations (SSDEs) (see ...differential equations with selector (see ... See full document
6
Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
... homoclinic solutions for Hamiltonian systems and their importance in the study of the behavior of dynamical systems have been already recognized from Poincar´e; homoclinic orbits play an important role in ... See full document
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