A monotone method for constructing extremal solutions to second order periodic boundary value problems

• Autorzy: Daqing Jiang , Lingbin Kong
• Języki publikacji: EN

Abstrakty

EN

We describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) in the presence of a lower solution α(t) and an upper solution β(t) with β(t) ≤ α(t).

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 76
• Numer: 3
• Strony: 279-286

Daty

wydano

2001

Twórcy

autor

Daqing Jiang

• Department of Mathematics, Northeast Normal University, Changchun 130024, P.R. China

autor

Lingbin Kong

• Department of Mathematics, Daqing Petroleum Institute, Anda 151400, Heilongjiang, P.R. China

Identyfikatory

DOI

10.4064/ap76-3-6