ejournals

Informacje

Afiliacja

Institute of Mathematics, Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology

Artykuły

Sortowanie:

Autor

An abstract nonlocal functional-differential second order evolution Cauchy problem

Adam Bednarz

Czasopismo Techniczne, Volume 4 Year 2018 (115), 2018, s. 139 - 147

https://doi.org/10.4467/2353737XCT.18.062.8374

The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution second order equation together with nonlocal initial conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied. The paper is based on publications [1–12] and is a generalization of paper [7].

PDF

Czytaj więcej

Autor

Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order

Adam Bednarz

Czasopismo Techniczne, Volume 5 Year 2018 (115), 2018, s. 141 - 148

https://doi.org/10.4467/2353737XCT.18.080.8562

The aim of the paper is to prove two theorems on the continuous dependence of mild solutions, on initial

nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and

second orders. The paper is based on publications [1–10] and is a generalization of paper [5].

PDF

Czytaj więcej

Autor

On abstract nonlocal Cauchy problem

Adam Bednarz

Czasopismo Techniczne, Nauki Podstawowe Zeszyt 1 NP (4) 2013, 2013, s. 11 - 17

https://doi.org/10.4467/2353737XCT.14.028.2611

In this paper, we investigate the existence and uniqueness of the classical solution to an abstract
nonlocal Cauchy problem. For this purpose, we apply a notion of mild solution and the Banach
contraction theorem.

PDF

Czytaj więcej