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1.
A note on certain integral inequalities with delay   总被引:2,自引:0,他引:2  
In this paper we establish some new integral inequalities with delay, which can be used as tools in the theory of some new classes of differential and integral equations. An application to obtain a bound on the solution of a certain integral equation is also given.  相似文献
2.
Explicit Bounds on Certain Integral Inequalities   总被引:1,自引:0,他引:1  
In this paper explicit bounds on retarded Gronwall-Bellman and Bihari-like integral inequalities and their two independent variable generalizations are established. Some applications are also given to illustrate the usefulness of one of our results.  相似文献
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4.
Some fundamental integrodifferential inequalities and their discrete analogues which can be used in the analysis of a class of integrodifferential and summary difference equations as handy tools are discussed.  相似文献
5.
In this paper stability and asymptotic behaviour of solutions of the integrodifferential system in a Banach space is related to that of the integrodifferential system in a Banach space. The results obtained constitute a generalization of similar results for ordinary differential equations in a Banach space, which motivate the approach and proofs.  相似文献
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7.
Some fundamental integrodifferential inequalities and their discrete analogues which can be used in the analysis of a class of integrodifferential and summary difference equations as handy tools are discussed.  相似文献
8.
In this paper stability and asymptotic behaviour of solutions of the integrodifferential system in a Banach space is related to that of the integrodifferential system in a Banach space. The results obtained constitute a generalization of similar results for ordinary differential equations in a Banach space, which motivate the approach and proofs.  相似文献
9.
We establish two new inequalities of Grüss type involving functions of two independent variables. The analysis used in the proofs is elementary and our results provide new estimates on inequalities of this type.  相似文献
10.
In the present paper we establish Lyapunov type integral inequalities related to the zeros of solutions of certain second-order differential equations by using elementary analysis. We also present some immediate applications of our results to study the asymptotic behavior of solutions of the corresponding differential equations.  相似文献
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