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17 papers found.
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A Multiple Iterated Integral Inequality and Applications

; Accepted 10 July 2014; Published 22 July 2014 Academic Editor: Daoyi Xu Copyright © 2014 Zongyi Hou and Wu-Sheng Wang. This is an open access article distributed under the Creative Commons Attribution

A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints

24 April 2013; Revised 5 November 2013; Accepted 5 November 2013 Academic Editor: Saeid Abbasbandy Copyright © 2013 Sheng Wang and Hongbo Guan. This is an open access article distributed under the

A Class of Volterra-Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications

We discuss a class of Volterra-Fredholm type difference inequalities with weakly singular. The upper bounds of the embedded unknown functions are estimated explicitly by analysis techniques. An application of the obtained inequalities to the estimation of Volterra-Fredholm type difference equations is given.

A Class of Volterra-Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications

We discuss a class of Volterra-Fredholm type difference inequalities with weakly singular. The upper bounds of the embedded unknown functions are estimated explicitly by analysis techniques. An application of the obtained inequalities to the estimation of Volterra-Fredholm type difference equations is given.

Estimation of Unknown Functions of Iterative Difference Inequalities and Their Applications

We establish some new nonlinear retarded finite difference inequalities. The results that we propose here can be used as tools in the theory of certain new classes of finite difference equations in various difference situations. We also give applications of the inequalities to show the usefulness of our results.

A Generalized Nonlinear Sum-Difference Inequality of Product Form

August 2013; Accepted 1 November 2013 Academic Editor: Mehmet Sezer Copyright © 2013 YongZhou Qin and Wu-Sheng Wang. This is an open access article distributed under the Creative Commons Attribution

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given.

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques. Moreover, an application of our result to the retarded Volterra-Fredholm integral equations for estimation is given.

A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity

We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is given clearly. Moreover, an example is presented to show the usefulness of our results.

Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables

We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions . By adopting novel analysis techniques, such as change of variable, amplification method, differential and integration, inverse function, and the dialectical...

Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables

We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions . By adopting novel analysis techniques, such as change of variable, amplification method, differential and integration, inverse function, and the dialectical...

Building a Smooth Medical Service for Operating Room Using RFID Technologies

Due to the information technology advancement, the feasibility for the establishment of mobile medical environments has been strengthened. Using RFID to facilitate the tracing of patients’ mobile position in hospital has attracted more attentions from researchers due to the demand on advanced features. Traditionally, the management of surgical treatment is generally manually...

Building a Smooth Medical Service for Operating Room Using RFID Technologies

Due to the information technology advancement, the feasibility for the establishment of mobile medical environments has been strengthened. Using RFID to facilitate the tracing of patients’ mobile position in hospital has attracted more attentions from researchers due to the demand on advanced features. Traditionally, the management of surgical treatment is generally manually...

Some New Difference Inequalities and an Application to Discrete-Time Control Systems

Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the...

Some New Difference Inequalities and an Application to Discrete-Time Control Systems

Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. Further, the...