On Lakshmikantham’s comparison for ordinary differential equations
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- by Giovanni Vidossich PDF
- Proc. Amer. Math. Soc. 53 (1975), 412-414 Request permission
Abstract:
The paper describes the relation between Lakshmikantham’s comparison and other known facts.References
- Ronald Becker and Giovanni Vidossich, Some applications of a simple criterion for the existence of periodic solutions of ordinary differential equations, J. Math. Anal. Appl. 48 (1974), 51–60. MR 350119, DOI 10.1016/0022-247X(74)90215-7 R. Conti and G. Sansone, Equazioni differenziali nonlineari, Edizioni Cremonese, Rome, 1956; English transl., Internat. Ser. of Monographs in Pure and Appl. Math., vol. 67, Macmillan, New York, 1964. MR 19, 547; 31 #1417.
- G. E. Ladas and V. Lakshmikantham, Differential equations in abstract spaces, Mathematics in Science and Engineering, Vol. 85, Academic Press, New York-London, 1972. MR 0460832
- V. Lakshmikantham, Notes on a variety of problems of differential systems, Arch. Rational Mech. Anal. 10 (1962), 119–126. MR 141840, DOI 10.1007/BF00281181 V. Lakshmikantham and S. Leela, Differential and integral inequalities, vols. I, II, Academic Press, New York, 1969. G. Vidossich, Existence, comparison and asymptotic behavior of solutions of ordinary differential equations in finite and infinite dimensional Banach spaces, Notas de Matemática, no. 24, Universidade de Brasília, 1972.
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 412-414
- MSC: Primary 34G05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0390421-3
- MathSciNet review: 0390421