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[PDF] Top 20 An Extension to Nonlinear Sum Difference Inequality and Applications

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An Extension to Nonlinear Sum Difference Inequality and Applications

An Extension to Nonlinear Sum Difference Inequality and Applications

... Gronwall-Bellman inequality 1, 2 is a fundamental tool in the study of existence, uniqueness, boundedness, stability, invariant manifolds and other qualitative properties of solutions of differential equations and ... See full document

17

Extension of Hu Ke's inequality and its applications

Extension of Hu Ke's inequality and its applications

... Hölder’s inequality plays a very important role in both theory and appli- ...an extension of Hu Ke’s inequality, which is a sharp Hölder’s inequality, and established their corresponding ... See full document

14

An extension of conditional nonlinear optimal perturbation approach and its applications

An extension of conditional nonlinear optimal perturbation approach and its applications

... the nonlinear response of initial errors to the parameter ...the difference be- tween the prediction errors in nonlinear model and those in its corresponding linearized ...the nonlinear ... See full document

10

An Extension of the Hilbert's Integral Inequality

An Extension of the Hilbert's Integral Inequality

... integral inequality see 1, 2. Owing to the importance of the Hilbert’s inequality and the Hilbert- type inequality in analysis and applications, some mathematicians have been studying ... See full document

12

Recent Developments of Hilbert Type Discrete and Integral Inequalities with Applications

Recent Developments of Hilbert Type Discrete and Integral Inequalities with Applications

... This paper deals with recent developments of Hilbert-type discrete and integral inequalities by introducing kernels, weight functions, and multiparameters. Included are numerous generalizations, extensions, and ... See full document

30

An operator extension of čebyšev inequality

An operator extension of čebyšev inequality

... [13] S.S. Dragomir, J. Peˇ cari´ c and J. S´ andor, The ˘ Ceby˘ sev inequality in pre-Hilbertian spaces. II, In: Proceedings of the third symposium of mathematics and its applications; Timi¸ soara; 1989. ... See full document

14

Some remarks on Niezgoda's extension of Jensen-Mercer inequality

Some remarks on Niezgoda's extension of Jensen-Mercer inequality

... and preliminaries. The second section deals with some alternate forms of Niezgoda’s inequality. The third section deals with the refinement of the result which is stated in the second section. The last section ... See full document

11

Nonlinear discrete fractional mixed type sum difference equation boundary value problems in Banach spaces

Nonlinear discrete fractional mixed type sum difference equation boundary value problems in Banach spaces

... in applications [, ], in particular for using computer to simulate the behavior of solutions for certain dynamic ...type sum- difference equations boundary value problems in Banach spaces is still a new ... See full document

12

A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum

A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum

... It is well known that the classical Euler’s gamma function Γ(x) is one of the most important special functions and has much extensive applications in many branches, for example, statistics, physics, engineering, ... See full document

9

On the generalised sum of squared logarithms inequality

On the generalised sum of squared logarithms inequality

... The sum of squared logarithms inequality has immediate important applications in matrix analysis ([]; see also []) as well as in nonlinear elasticity theory ... See full document

17

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

... numerous applications in diverse fields and thus have evolved into multidisciplinary subjects ...cant applications in various fields of science and engineering; see for instance the mono- graphs [–] and ... See full document

13

On nonlinear discrete weakly singular inequalities and applications to Volterra type difference equations

On nonlinear discrete weakly singular inequalities and applications to Volterra type difference equations

... Gronwall-Bellman inequality, various weakly singular inte- gral inequalities and their discrete analogues have attracted more and more attention and play a fundamental role in the study of the theory of singular ... See full document

13

Estimation on Certain Nonlinear Discrete Inequality and Applications to Boundary Value Problem

Estimation on Certain Nonlinear Discrete Inequality and Applications to Boundary Value Problem

... We investigate certain sum-di ff erence inequalities in two variables which provide explicit bounds on unknown functions. Our result enables us to solve those discrete inequalities considered by Sheng and Li 2008. ... See full document

8

Some new nonlinear retarded sum difference inequalities with applications

Some new nonlinear retarded sum difference inequalities with applications

... The main objective of this paper is to establish some new retarded nonlinear sum- difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These ... See full document

11

Inequity averse optimisation in operational research

Inequity averse optimisation in operational research

... many applications across a broad range of business problem domains in which equity is a concern and many well-known operational research (OR) problems such as knap- sack, scheduling or assignment problems have ... See full document

39

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

Nonlinear sum operator equations and applications to elastic beam equation and fractional differential equation

... The rest of the paper consists of the following sections. In Sect. 2, we present some preliminaries and lemmas to be used to prove our main result. In Sect. 3, we establish the existence and uniqueness theorems of ... See full document

25

Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions

Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions

... Γ , the logarithmic derivative of Γ, the psi function. If taking s = 1 2 in (1), 2000 Mathematics Subject Classification. Primary 33B15, 26A48, 26A51; Secondary 26D20. Key words and phrases. logarithmically completely ... See full document

7

Globalisation: zero sum game and positive sum game

Globalisation: zero sum game and positive sum game

... The famous cheerleader for globalisation and author, Thomas Friedman, in his book The World is Flat argues that globalisation is proceeding briskly because of the “flattening of the world”. What he means is that with the ... See full document

7

On an Extension of Shapiro's Cyclic Inequality

On an Extension of Shapiro's Cyclic Inequality

... Department of Mathematical Analysis, University of Hanoi, 334 Nguyen Trai Street, Hanoi, Vietnam Department of Mathematics, University of Hanoi, 334 Nguyen Trai Street, Hanoi, Vietnam.. [r] ... See full document

5

Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations

Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations

... 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 discrete ... See full document

14

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