Displaying similar documents to “On inequalities between solutions of first order partial differential-functional equations”

On functional inequalities in a single variable

Dobiesław Brydak

Similarity:

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

On the local Cauchy problem for first order partial differential functional equations

Elżbieta Puźniakowska-Gałuch (2010)

Annales Polonici Mathematici

Similarity:

A theorem on the existence of weak solutions of the Cauchy problem for first order functional differential equations defined on the Haar pyramid is proved. The initial problem is transformed into a system of functional integral equations for the unknown function and for its partial derivatives with respect to spatial variables. The method of bicharacteristics and integral inequalities are applied. Differential equations with deviated variables and differential integral equations can...

Improved Heinz inequalities via the Jensen functional

Mario Krnić, Josip Pečarić (2013)

Open Mathematics

Similarity:

By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.

Functional differential inequalities with unbounded delay

Z. Kamont, S. Kozieł (2006)

Annales Polonici Mathematici

Similarity:

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...