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- W4376550130 abstract "Publisher SummaryThis chapter presents results relating to the solution of ordinary differential equations and discusses fundamental inequalities and the related results. It also discusses first-order systems and presents some special types of elementary differential equations such as variables separable, exact differential equations, and homogeneous differential equations. First-order equations include solution of such equations, the Cauchy problem for the differential equation, and Lipschitz continuity of a function. In addition, second-order equations are also explained, which includes adjoint and self-adjoint equations, Abel's identity, Lagrange identity, and Riccati equation, followed by oscillation and non-oscillation theorems for second-order equations. Equations whose solutions possess an infinite number of zeros in the interval (0,∞) are said to have oscillatory solutions, whereas a real solution is said to be non-oscillatory in the wide sense in (0, ∞) if there exists a finite number “c” such that the solution has no zeros in (c, ∞)." @default.
- W4376550130 created "2023-05-16" @default.
- W4376550130 date "2000-01-01" @default.
- W4376550130 modified "2023-09-27" @default.
- W4376550130 title "Ordinary differential equations" @default.
- W4376550130 doi "https://doi.org/10.1016/b978-012294757-5/50020-9" @default.
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