A new approach to an analysis of Henry type integral inequalities and their Bihari type versions

Journal of Mathematical Analysis and Applications

Volumn 214, Issue 2, 1997, Pages 349-366

  Medveď, Milan ^a  

^a Faculty of Natural Sciences   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; NONLINEAR EQUATIONS;

BIHARI NONLINEAR EQUATIONS; HENRY TYPE INTEGRAL INEQUALITIES; NONLINEAR INTEGRAL INEQUALITIES; OU IANG PACHPATTE INEQUALITY;

DIFFERENTIAL EQUATIONS;

EID: 0031247674     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5532     Document Type: Article

References (12)

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3. 3. J. K. Hale, Asymptotic behaviour of dissipative systems, in "Mathematical Surveys and Monographs," Vol. 25, Amer. Math. Soc., Providence, 1988.
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5. 5. M. Kuczma, An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality, University of Katowice, Katowice, 1985.
6. 6. A. A. Martyniuk, V. Lakshmikanthan, and S. Leela, "Motion Stability: The Method of Integral Inequalities," Naukova Dumka, Kiev, 1977. [In Russian].
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9. 9. M. Medveď, Bihari type inequalities with multiple integral and delay, Period. Math. Hungar. 27 (1993), 207-212.
10. 10. B. G. Pachpatte, On some new inequalities in the theory of differential equations, J. Math. Anal. Appl. 189 (1995), 128-144.
11. 11. W. Rudin, "Real and Complex Analysis," McGraw-Hill, New York, 1974.
12. 12. H. Sano and N. Kunimatsu, Modified Gronwall's inequality and its application to stabilization problem for semilinear parabolic systems, Systems Control Lett. 22 (1994), 145-156.