On a first-order differential system with initial and nonlocal boundary conditions

• Autorzy: Ngoc Le Thi Phuong , Long Nguyen Thanh

Identyfikatory

DOI

10.1515/dema-2022-0012

• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results.

Słowa kluczowe

EN

initial-boundary value problem; nonlinear differential system of equation; nonlocal conditions; positive solutions; fixed point theory

PL

zagadnienie brzegowo-początkowe; nieliniowe równania różniczkowe; warunki nielokalne; pozytywne rozwiązania; teoria punktu stałego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 277--296
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Ngoc Le Thi Phuong

• University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, Vietnam

autor

Long Nguyen Thanh

• Department of Mathematics and Computer Science, University of Science, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Vietnam; Vietnam National University, Ho Chi Minh City, Vietnam

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).