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- W64957574 abstract "This chapter describes the role of quasi-solutions in the study of differential equations. It is well known that quasimonotone property plays a crucial role in the study of comparison theorems, existence of extremal solutions, and the monotone iterative techniques for initial and boundary value problems. In the method of vector Lyapunov functions to investigate the stability of large scale systems, an unpleasant fact is that quasimonotone property is required for comparison systems as comparison systems with a desired stability property exist without being quasimonotone. However, in many physical situations, it is often found that quasimonotone property is not satisfied. A simple model governing the combustion of gas represented by the system together with appropriate initial and boundary conditions is considered. The system is not quasimonotone but satisfies a kind of mixed quasimonotone property. The idea of quasi-solutions introduced and developed further can be gainfully employed to study differential systems, which possess a certain mixed quasi-monotonicity." @default.
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- W64957574 date "1981-01-01" @default.
- W64957574 modified "2023-09-23" @default.
- W64957574 title "THE ROLE OF QUASI-SOLUTIONS IN THE STUDY OF DIFFERENTIAL EQUATIONS" @default.
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- W64957574 doi "https://doi.org/10.1016/b978-0-12-508780-3.50026-2" @default.
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