On Some New Nonlinear Retarded Integral Inequalities with Iterated Integrals and their Applications in Integro-Differential Equations
Journal of Advances in Mathematics and Computer Science · pp. 479–491 · Published 14 Nov 2014
10.9734/BJMCS/2015/13866Abstract
In this paper, some new generalized retarded nonlinear integral inequalities of Gronwall-Bellman type are discussed. The upper bounds estimation of the embedded unknown functions are discussed by integral and differential techniques. Our results generalize some inequalities of H. El-Owaidy et al. [1] with both retard and nonlinear integral. Some applications are also presented in order to illustrate the usefulness of some of our results.
References (18)
- 1 Note on the Derivatives with Respect to a Parameter of the Solutions of a System of Differential Equations [DOI]
- 2 A generalization of a lemma of bellman and its application to uniqueness problems of differential equations [DOI]
- 3 Inequalities for Differential and Integral Equations [DOI]
- 4 The stability of solutions of linear differential equations [DOI]
- 5 Generalization of a retarded Gronwall-like inequality and its applications [DOI]
- 6 A Retarded Gronwall-Like Inequality and Its Applications [DOI]
- 7 Some new nonlinear inequalities and applications to boundary value problems [DOI]
- 8 On some new integral inequalities of Gronwall–Bellman–Pachpatte type [DOI]
- 9 Nonlinear impulsive integro-differential equations of mixed type and optimal controls [DOI]
- 10 A generalized retarded Gronwall-like inequality in two variables and applications to BVP [DOI]
- 11 On a Generalized Retarded Integral Inequality with Two Variables [DOI]
- 12 On Some New Integral Inequalities for Functions in One and Two Variables [DOI]
- 13 On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type [DOI]
- 14 A New Generalization of Lemma Gronwall-Bellman
- 15 A New Nonlinear Retarded Integral Inequality and Its Application [DOI]
- 16 Nonlinear Retarded Integral Inequalities with Two Variables and Applications [DOI]
- 17 Gronwall-type integral inequalities with impulses on time scales [DOI]
- 18 NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE WITH TIME-VARYING GENERATING OPERATORS AND OPTIMAL CONTROLS
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