Neumann problems with time singularities

✍ Scribed by Irena Rachůnková; Svatoslav Staněk; Ewa Weinmüller; Michael Zenz

• Book ID: 104008910
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 912 KB
• Volume: 60
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2010.05.019

✦ Synopsis

of the first kind Existence and uniqueness of solution Collocation methods Lower and upper functions a b s t r a c t

In this paper we study the existence and uniqueness of solutions to a nonlinear Neumann problem for a scalar second order ordinary differential equation

where a < 0, and f (t, x, y) satisfies the local Carathéodory conditions on [0, T ] × R × R.