Existence of positive solutions of a new class of nonlocal p(x)-Kirchhoff parabolic systems via sub-super-solutions concept

• Autorzy: Zediri Sounia , Guefaifia Rafik , Boulaaras Salah

Identyfikatory

DOI

10.1515/jaa-2020-2002

• Języki publikacji: EN

Abstrakty

EN

Motivated by the idea which has been introduced by Boulaaras and Guefaifia [S. Boulaaras and R. Guefaifia, Existence of positiveweak solutions for a class of Kirchhoff elliptic systems with multiple parameters, Math. Methods Appl. Sci. 41 (2018), no. 13, 5203-5210] and by Afrouzi and Shakeri [G. A. Afrouzi, S. Shakeri and N. T. Chung, Existence of positive solutions for variable exponent elliptic systems with multiple parameters, Afr. Mat. 26 (2015), no. 1-2, 159-168] combined with some properties of Kirchhoff-type operators, we prove the existence of positive solutions for a new class of nonlocal p(x)-Kirchhoff parabolic systems by using the sub- and super-solutions concept.

Słowa kluczowe

EN

positive solutions; sub-super-solutions method; p(x)-Kirchhoff parabolic systems

PL

rozwiązania dodatnie

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 1
• Strony: 49--58
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Zediri Sounia

• Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa
• Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, 12002 Tebessa, Algeria

autor

Guefaifia Rafik

• Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria

autor

Boulaaras Salah

• Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Al-Mulida, Qassim, Kingdom of Saudi Arabia
• Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).