Lefschetz fixed point theory for admissible maps on Hausdorff topological spaces
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 2
Abstract
A variety of deterministic and random Lefschetz fixed point theorems for compact admissible maps on Hausdorff topological spaces are presented in this paper.
Authors and Affiliations
Donal O'Regan
On properties of set-valued integrals driven by martingales and set-valued stochastic equations
In the paper we study properties of stochastic integrals of Aumann type driven by quadratic variation process and set-valued Itô integral with respect to martingale. Next, the existence, uniqueness and convergence proper...
Mild solutions for some partial functional integrodifferential equations with state-dependent delay
In this work, we establish sufficient conditions for the existence of solutions for some partial functional integrodifferential equations with state-dependent delay. We suppose that the undelayed part admits a resolvent...
New results on fractional neutral integro-differential systems with state-dependent delay via resolvent operators
In this manuscript, we set up sufficient conditions for existence and uniqueness of solutions for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Our methodology...
Existence of monotone solutions for functional differential inclusions without convexity
The aim of this paper is to prove, under weaker hypothesis, the existence result of monotone solutions for autonomous and nonautonomous functional differential inclusions.
Random integral guiding functions with application to random differential complementarity systems
By applying the random topological degree we develop the methods of random smooth and nonsmooth integral guiding functions and use them for the study of random differential inclusions in finite dimensional spaces. Some e...