Abstract
This paper presents existence, uniqueness, and continuous dependence theorems for solutions of initial-value problems for neutral-differential equations of the form (equation omited), where f, g, and h are continuous functions with g(0, x0)=h(0, x0) = 0. The existence of a continuous solution of the functional equation z(t) =f(t, z(h(t))) is proved as a corollary. © 1971 American Mathematical Society.
Recommended Citation
L. J. Grimm, "Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations," Proceedings of the American Mathematical Society, vol. 29, no. 3, pp. 467 - 473, American Mathematical Society, Jan 1971.
The definitive version is available at https://doi.org/10.1090/S0002-9939-1971-0287117-1
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Continuous dependence; Existence theory; Functional equations; Neutral-differential equations
International Standard Serial Number (ISSN)
1088-6826; 0002-9939
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 1971
