Positive kernels, fixed points, and integral equations.

Authors :: Burton, Theodore A.
Purnaras, Ioannis K.
Source :: Electronic Journal of Qualitative Theory of Differential Equations. 2018, p1-21. 21p.
Publication Year :: 2018
Abstract: There is substantial literature going back to 1965 showing boundedness properties of solutions of the integro-differential equation ... when A is a positive kernel and h is a continuous function using ... In that study there emerges the pair: Integro-differential equation and Supremum norm. In this paper we study qualitative properties of solutions of integral equations using the same inequality and obtain results on Lp solutions. That is, there occurs the pair: Integral equations and Lp norm. The paper also offers many examples showing how to use the Lp idea effectively. [ABSTRACT FROM AUTHOR]

Subjects :: *INTEGRAL equations
*KERNEL (Mathematics)
*FIXED point theory
*NONLINEAR operators
*INTEGRO-differential equations

Language :: English
ISSN :: 14173875
Database :: Academic Search Index
Journal :: Electronic Journal of Qualitative Theory of Differential Equations
Publication Type :: Academic Journal
Accession number :: 133435207
Full Text :: https://doi.org/10.14232/ejqtde.2018.1.44