Academic Journal

On a complete parametric Sturm-Liouville problem with sign changing coefficients

التفاصيل البيبلوغرافية
العنوان: On a complete parametric Sturm-Liouville problem with sign changing coefficients
المؤلفون: Eleonora Amoroso, Giuseppina D'Aguì, Valeria Morabito
المصدر: AIMS Mathematics, Vol 9, Iss 3, Pp 6499-6512 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: critical point theory, sturm-liouville equations, nonlinear differential problems, ordinary differential equations, multiple results, Mathematics, QA1-939
الوصف: In this paper we study a complete second order differential equation of Sturm-Liouville type under Dirichlet boundary condition and where the variable coefficients are allowed to be sign changing. Through critical point theory, we obtain the existence of two nontrivial generalized solutions by requiring a specific growth on the nonlinearity. Moreover, the solutions turn out to be nonnegative and with opposite energy sign.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.2024316?viewType=HTML
DOI: 10.3934/math.2024316
URL الوصول: https://doaj.org/article/ec97928d760e4c7cac201f8dd3c3e4b9
رقم الانضمام: edsdoj.97928d760e4c7cac201f8dd3c3e4b9
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.2024316?viewType=HTML