On a system of integral inequalities
Authors:
S. G. Deo and M. G. Murdeshwar
Journal:
Proc. Amer. Math. Soc. 26 (1970), 141-144
MSC:
Primary 34.90; Secondary 26.00
DOI:
https://doi.org/10.1090/S0002-9939-1970-0267233-X
MathSciNet review:
0267233
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
- Richard Bellman, The stability of solutions of linear differential equations, Duke Math. J. 10 (1943), 643–647. MR 9408
- I. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 81–94 (English, with Russian summary). MR 79154, DOI https://doi.org/10.1007/BF02022967
- Fred Brauer, Bounds for solutions of ordinary differential equations, Proc. Amer. Math. Soc. 14 (1963), 36–43. MR 142829, DOI https://doi.org/10.1090/S0002-9939-1963-0142829-0
- C. E. Langenhop, Bounds on the norm of a solution of a general differential equation, Proc. Amer. Math. Soc. 11 (1960), 795–799. MR 121522, DOI https://doi.org/10.1090/S0002-9939-1960-0121522-1
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 34.90, 26.00
Retrieve articles in all journals with MSC: 34.90, 26.00
Additional Information
Keywords:
Integral inequality,
Bihari’s Lemma
Article copyright:
© Copyright 1970
American Mathematical Society