A third-order boundary value problem with one-sided Nagumo condition

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2005 Portugal English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 63, pages e247-e256 (issn: 0362-546X,

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Authors: Grossinho, Maria do Rosário; Minhós, F.M.; Santos, A.I.;

doi: 10.1016/j.na.2004.09.035

handle: 10400.5/27644

A third-order boundary value problem with one-sided Nagumo condition

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Abstract

Abstract In this paper we present an existence and location result for the third-order separated boundary value problem u ‴ ( t ) = f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) ) , u ( a ) = A , u ″ ( a ) = 0 , u ″ ( b ) = 0 , where f : [ a , b ] × R 3 → R is a continuous function and A ∈ R . One-sided Nagumo condition, lower and upper solutions, a priori estimates and Leray–Schauder degree play an important role in the arguments.

Country

Portugal

Related Organizations

University of Lisbon
Portugal
Chartered Institute of Management Accountants
United Kingdom
Technical University of Lisbon
Portugal
Universidade de Lisboa
Portugal
University of Évora
Portugal

Keywords

Third-order Separated Boundary Value Problem, A Priori Estimates, Nonlinear boundary value problems for ordinary differential equations, lower and upper solutions, a priori estimates, Leray-Schauder degree, Nonlinear ordinary differential operators, third-order separated boundary value problem, Lower and Upper Solutions, One-sided Nagumo Condition, Leray–Schauder Degree, Nonlocal and multipoint boundary value problems for ordinary differential equations, one-sided nagumo condition

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