[PDF] Top 20 Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
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Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations
... Gronwall-Bellman inequalities and their various linear and nonlinear generalizations play very important roles in the discussion of existence, uniqueness, continuation, boundedness, and stability properties ... See full document
14
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 ...to nonlinear Volterra-type difference equations are ...the ... See full document
13
On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications
... In recent years, there exist a large number of published papers on the theory of time scales which was introduced by Stefan Hilger [1] in his Ph.D. thesis in 1988 in order to unify and extend the difference and ... See full document
19
Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
... The paper is arranged as follows. In Section 2, we define the Ulam–Hyers and Rassias type stability concepts for (1.1) and we state the theorems which are essential to obtain our main results. Section 3, deals ... See full document
15
Some new retarded nonlinear Volterra Fredholm type integral inequalities with maxima in two variables and their applications
... differential equations, integral equa- tions and integro-differential ...Gronwall-Bellman-Gamidov type integral inequalities and their generalizations were studied; in [–], the Gronwall-like ... See full document
25
Applications of one and two dimensional Volterra inequalities in differential equations of the hyperbolic type
... integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to var- ious boundary value problems for partial differential equations of the ... See full document
11
Global attractor of coupled difference equations and applications to Lotka Volterra systems
... of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time ...system. Applications are given to three basic types of ... See full document
23
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 ...some ... See full document
18
Some new generalized Volterra Fredholm type discrete fractional sum inequalities and their applications
... new Volterra-Fredholm-type discrete fractional sum ...These inequalities can be used as handy and powerful tools in the study of certain fractional sum-difference ...Some applications ... See full document
16
Quasilinearization for nonlinear boundary value problems for delay type difference equations with maxima
... their applications to computational mathematics and ...quantity. Discrete modeling of such kind of problems is done adequately by difference equations with max- ima over a past time discrete ... See full document
14
Advanced Discrete Halanay Type Inequalities: Stability of Difference Equations
... of nonlinear difference equations with delays has attracted a lot of attention from many researchers such as Agarwal et ...new applications can be found, for instance, in Agarwal et ...considered ... See full document
11
Volterra Discrete Inequalities of Bernoulli Type
... Integral inequalities of Gronwall type have been very useful in the study of ordinary differential ...the discrete analogue of the well-known Gronwall-Bellman inequality 2–5 which find numerous ... See full document
11
On the boundedness of the solutions in nonlinear discrete Volterra difference equations
... inhomogeneous Volterra difference system with the critical case ∞ i=0 || A(i) || = 1 ...linear Volterra difference equations, we refer the readers to ...some applications of our ... See full document
20
Estimates on some power nonlinear Volterra Fredholm type dynamic integral inequalities on time scales
... concerning Volterra integral equations and the dynamic integral inequalities on time scales which usually can be used as handy tools to study the qualitative theory of dynamic integral ... See full document
16
Nonlinear Integral Inequalities in Two Independent Variables and Their Applications
... This paper generalizes results of Cheung and Ma (2005) to more general inequalities with more than one distinct nonlinear term. From our results, some results of Cheung and Ma (2005) can be deduced as some ... See full document
11
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
Some nonlinear integral inequalities for Volterra-Fredholm Integral equations
... some nonlinear Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm ... See full document
11
Picone type inequalities for nonlinear elliptic equations with first order terms and their applications
... Beginning with the work of Picone [11], Picone identity has been investigated by many authors. In particular, we refer the reader to Allegretto [2], Kreith [8], Protter [12], Swan- son [13] and the references cited ... See full document
17
On multiplicity of solutions to nonlinear partial difference equations with delay
... difference equations has been developed by means of different tools such as comparison principle, Schauder type fixed point the- orem, Banach’s contraction principle, method of upper and lower solutions, the ... See full document
12
On Volterra inequalities and their applications
... Some applications of two-dimensional ...some applications of the given inequalities to study the boundedness, stability and uniqueness solutions of certain nonlinear integral equations, ... See full document
18
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