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[PDF] Top 20 A class of stochastic Gronwall’s inequality and its application

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A class of stochastic Gronwall’s inequality and its application

A class of stochastic Gronwall’s inequality and its application

... Gronwall’s inequality was first proposed and proved as its differential form by the Swedish mathematician called Thomas Hacon Gronwall [1] in ...Gronwall’s inequality is an important tool to ... See full document

10

On a Class of Gronwall Bellman Type Inequalities

On a Class of Gronwall Bellman Type Inequalities

... The Gronwall type integral inequalities provide a necessary tool for the study of the theory of di ff erential equa- tions, integral equations and inequalities of the various types (please, see Gronwall [1] ... See full document

6

Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach

Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach

... Gronwall’s inequality is one of the most impor- tant ...time, Gronwall worked on this type of inequality ...the Gronwall inequality have started to take part of the literature on ... See full document

13

On Minkowski's inequality and its application

On Minkowski's inequality and its application

... 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15 Keywords: Minkowski?’?s inequality, H?ö?lder?’?s inequality, Brunn-Minkowski inequality, dual mixed volume.. 1 Improvement of[r] ... See full document

5

A New Variational Inequality with its Application

A New Variational Inequality with its Application

... and its variant forms including the Wiener-Hopf equations, descent methods can solve many kinds of variational ...a class of generalized set-valued strongly nonlinear implicit variational inequalities and ... See full document

5

Some new weakly singular integral inequalities and their applications to fractional differential equations

Some new weakly singular integral inequalities and their applications to fractional differential equations

... the Gronwall type inequality, the Gronwall-Bellman type inequality, the Henry-Gronwall type inequality, the Henry-Bihari type inequality and their variants in retarded ... See full document

16

The Generalized Gronwall Inequality and Its Application to Periodic Solutions of Integrodifferential Impulsive Periodic System on Banach Space

The Generalized Gronwall Inequality and Its Application to Periodic Solutions of Integrodifferential Impulsive Periodic System on Banach Space

... generalized Gronwall inequality with impulse, mixed-type integral operator, and B- norm which is much different from classical Gronwall inequality and can be used in other problems such as ... See full document

22

A more generalized Gronwall like integral inequality with applications

A more generalized Gronwall like integral inequality with applications

... new Gronwall-like integral inequality which is a generaliza- tion of integral inequalities proved by Engler (1989) and Pachpatte ...new Gronwall-like integral inequality can be used in various ... See full document

8

Stabilisation by Stochastic Feedback Control Based on Discrete-time Observations

Stabilisation by Stochastic Feedback Control Based on Discrete-time Observations

... nonlinear stochastic systems by linear stochastic feedback control from discrete-time ...Burkholder-Davis-Gundy inequality, H¨older inequality and Gronwall inequality, the almost ... See full document

7

A generalized q fractional Gronwall inequality and its applications to nonlinear delay q fractional difference systems

A generalized q fractional Gronwall inequality and its applications to nonlinear delay q fractional difference systems

... 18. Bastos, NRO, Ferreira, RAC, Torres, DFM: Discrete time variational problems. Signal Process. 91(3), 513-524 (2011) 19. Atici, FM, ¸Sengül, S: Modeling with fractional difference equations. J. Math. Anal. Appl. ... See full document

13

Minimal conditions for implications of Gronwall Bellman

Minimal conditions for implications of Gronwall Bellman

... of Gronwall [7], Reid [17], and Bellman [2] have been extended in many different ways over the past century; we refer to [3] and to the monograph [1] for an overview and an extensive list of ...on ... See full document

12

A new inequality of \(\mathcal{L}\) operator and its application to stochastic non autonomous impulsive neural networks with delays

A new inequality of \(\mathcal{L}\) operator and its application to stochastic non autonomous impulsive neural networks with delays

... new inequality of L-operator that is effective for stochas- tic non-autonomous ...new inequality of L-operator, we study the stochastic non-autonomous impulsive cellular neural networks with ... See full document

18

An impulsive nonlinear singular version of the Gronwall Bihari inequality

An impulsive nonlinear singular version of the Gronwall Bihari inequality

... Remark 3.4. It is clear that our result can be easily extended to other nonlinearities than the polynomial ones, iterated integrals and the case of several variables. One may use the Gronwall-Bihari lemma (Lemma ... See full document

12

Adaptive Output Tracking for Nonlinear Network Control Systems with Time Delay

Adaptive Output Tracking for Nonlinear Network Control Systems with Time Delay

... a class of nonlinear network control systems with parameter uncertainties and ...Young inequality to process the time-delay term of the systems, a robust adaptive output track- ing controller is designed to ... See full document

8

Generalized Gronwall inequalities and their applications to fractional differential equations

Generalized Gronwall inequalities and their applications to fractional differential equations

... In this work, we have obtained generalizations of the Gronwall inequality using several mathematical techniques. In addition, we have listed the initial value problems, namely (.) and (.), and proved ... See full document

9

A Gronwall inequality via the generalized proportional fractional derivative with applications

A Gronwall inequality via the generalized proportional fractional derivative with applications

... the Gronwall inequality in the frame of the generalized proportional fractional ...of its features. As an application, we accommodate the newly defined derivative to prove ... See full document

12

Gronwall OuIang Type Integral Inequalities on Time Scales

Gronwall OuIang Type Integral Inequalities on Time Scales

... OuIang inequalities and their generalizations have proved to be useful tools in oscillation theory, boundedness theory, stability theory, and other applications of differential and difference equations. A nice introduction ... See full document

15

A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

... This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map. Moreover, we ... See full document

18

An identity related to Jordan's inequality

An identity related to Jordan's inequality

... Also, in the process of sharpening Jordan’s inequality, one can use the same method as did in [7] to introduce a parameter θ (0 < θ ≤ π) to replace the value π/2. Unfortunately, the preceding method will become ... See full document

6

Some boundary hitting problems for diffusion processes

Some boundary hitting problems for diffusion processes

... have S = Sx = S2 , and so we can work with whatever structure we ...a class o f functions of the form / ( t ) = a(t)t> where a(t) is asymptotically increasing to a finite limit ... See full document

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