Displaying similar documents to “Maximum principles and boundary value problems for first-order neutral functional differential equations.”

Applications of the spectral radius to some integral equations

Mirosława Zima (1995)

Commentationes Mathematicae Universitatis Carolinae

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In the paper [13] we proved a fixed point theorem for an operator 𝒜 , which satisfies a generalized Lipschitz condition with respect to a linear bounded operator A , that is: m ( 𝒜 x - 𝒜 y ) ≺ A m ( x - y ) . The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator A .

Functional differential inequalities with unbounded delay

Z. Kamont, S. Kozieł (2006)

Annales Polonici Mathematici

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Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded...

On functional inequalities in a single variable

Dobiesław Brydak

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CONTENTSIntroduction............................................................................................................ 61. Preliminaries ........................................................................................................... 52. Non-linear inequalities........................................................................................... 73. Continuous solutions of homogeneous inequalities....................................... 124. Continuous solutions...