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Boundary Value Problems
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Second-Order Boundary Value Problem with Integral Boundary Conditions

مشكلة القيمة الحدية للطلب الثاني مع شروط الحدود المتكاملة
Authors: Mouffak Benchohra; Juan J. Nieto; Abdelghani Ouahab;

Second-Order Boundary Value Problem with Integral Boundary Conditions

Abstract

L'alternative non linéaire du type Leray Schauder et le principe de contraction de Banach sont utilisés pour étudier l'existence de solutions pour des équations différentielles de second ordre avec des conditions aux limites intégrales. La compacité de l'ensemble de solutions est également étudiée.

La alternativa no lineal del tipo Leray Schauder y el principio de contracción de Banach se utilizan para investigar la existencia de soluciones para ecuaciones diferenciales de segundo orden con condiciones de contorno integrales. También se investiga la compacidad del conjunto de soluciones.

The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions. The compactness of solutions set is also investigated.

يتم استخدام البديل غير الخطي لنوع ليراي شودر ومبدأ انكماش بنك للتحقيق في وجود حلول للمعادلات التفاضلية من الدرجة الثانية مع ظروف حدود متكاملة. كما يتم التحقيق في إحكام مجموعة المحاليل.

Keywords

Compact space, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Engineering, Differential equation, Numerical Integration Methods for Differential Equations, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Integral equation, C0-semigroup, QA299.6-433, Numerical Analysis, Algebra and Number Theory, Applications of operator theory to differential and integral equations, Applied Mathematics, Physics, Free boundary problem, Partial differential equation, Contraction principle, Boundary Value Problems, Control and Systems Engineering, Mixed boundary condition, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Nonlocal and multipoint boundary value problems for ordinary differential equations, Analysis, Mathematics, Ordinary differential equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
31
Top 10%
Top 10%
Top 10%
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