most citedSolvability of inclusions of Hammerstein type

2 citations · 2 across the 1 of their papers we have counts for

collaborators

7 papers

math.CA2019

Existence of solutions for a class of multivalued functional integral equations of Volterra type via the measure of nonequicontinuity on the Fréchet space

Radosław Pietkun

The existence of continuous not necessarily bounded solutions of nonlinear functional Volterra integral inclusions in infinite dimensional setting is shown with the aid of the meas…

math.FA20192 cited

Solvability of inclusions of Hammerstein type

Radosław Pietkun

A fairly general continuation theorem of Leray-Schauder type for the class of so-called admissible multimaps is set forth. This result is then used to establish a universal rule fo…

math.FA2018

Structure of the solution set to Volterra integral inclusions and applications

Radosław Pietkun

The topological and geometric structure of the solution set to Volterra integral inclusions in Banach spaces is investigated. It is shown that the set of solutions in the sense of…

math.CA2018

Guiding potential method for differential inclusions with nonlocal conditions

Radosław Pietkun

The existence of solutions of some nonlocal initial value problems for differential inclusions is established. The guiding potential method is used and the topological degree theor…

math.CA2018

Acyclicity of the solution set of two-point boundary value problems for second order multivalued differential equations

Radosław Pietkun

The topological and geometrical structure of the set of solutions of two-point boundary value problems for second order differential inclusions in Banach spaces is investigated. It…

math.CA2018

On the properties of the solution set map to Volterra integral inclusion

Radosław Pietkun

For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be , without auxiliary conditions imposed in Theorem 6 [J. Math. An…