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Full-Text Articles in Physical Sciences and Mathematics
Existence And Uniqueness For Nonlinear Neutral-Differential Equations, L. J. Grimm
Existence And Uniqueness For Nonlinear Neutral-Differential Equations, L. J. Grimm
Mathematics and Statistics Faculty Research & Creative Works
Fixed point theorems are used to prove existence and uniqueness of the C1 solution of the initial-value problem for a functional-differential equation of neutral type. © 1971, American Mathematical Society. All Rights Reserved.
Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations, L. J. Grimm
Existence And Continuous Dependence For A Class Of Nonlinear Neutraldifferential Equations, L. J. Grimm
Mathematics and Statistics Faculty Research & Creative Works
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.