Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations

Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations

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We obtain the maximum principles for the first-order neutral functional differential equation where , and are linear continuous operators, and are positive operators, Stroller Toys is the space of continuous functions, and is the space of essentially bounded functions defined on.New tests on positivity of the Cauchy function and its derivative are proposed.Results on existence and uniqueness of solutions for various boundary value problems are obtained on the #4.56 AUBURN basis of the maximum principles.