Existence and uniqueness of initial value problems for a class of second- order differential equations
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Publication:582423
DOI10.1016/0022-0396(89)90135-6zbMath0691.34005OpenAlexW2028566075MaRDI QIDQ582423
Stewart C. Welsh, Jeffrey R. L. Webb
Publication date: 1989
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(89)90135-6
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (5)
Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions ⋮ On the Cauchy problem for the differential equation f(t, x, x′, …, x(k)) = 0 ⋮ Unnamed Item ⋮ Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations ⋮ Existence of periodic solutions for fully nonlinear first-order differential equations
Cites Work
- Periodic solutions of nonlinear second-order differential equations which are not solvable for the highest derivative
- Topological degree and A-proper operators
- Global results concerning bifurcation for Fredholm maps of index zero with a transversality condition
- Using degree theory for densely defined A-proper maps in the solvability of semilinear equations with unbounded and noninvertible linear part
- On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings
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