Integral inequalities of the Bihari type

Mathematical Inequalities and Applications

Volumn 5, Issue 4, 2002, Pages 649-657

  Pachpatte, B G ^a  

^a NONE   (India)

Author keywords

Differential equation; Discrete analogues; Empty sum; Integral equation; Integral inequalities; Real valued function

Indexed keywords

EID: 0036807387     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-05-66     Document Type: Article

References (10)

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3. I. Bihari, A generalization of lemma of Bellman and its applications to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 71-94.
4. T.E. Hull and W.A.J. Luxemburg, Numerical methods and existence theorems for ordinary differential equations, Numer. Math. 2 (1960), 30-41.
5. A.A. Martyniuk and R. Gutowski, Integral Inequalities and stability of motion, Naukova Dumka, Kiev (Russian), 1979.
6. M. Medved, Nonlinear singular integral inequalities for functions in two and n independent variables, J. Inequal. Appl. 5 (2000), 287-308.
7. B.G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
8. B.G. Pachpatte, On some new inequalities related to a certain inequality arising in tie theory of differential equations, J. Math. Anal. Appl. 251 (2000), 736-751.
9. B.G. Pachpatte, Inequalities for Finite Difference Equations, Marcel Dekker, Inc. (2002).
10. D. Willett and J.S.W. Wong, On the discrete analogues of some generalizations of Gronwall's inequality, Monatsh Math. 69 (1965), 362-367.