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Boundary value problems with discontinuities and monotone discretization

โœ Scribed by S. Carl; C. Grossmann

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
697 KB
Volume
51
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES

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โœ N. Halidias ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 295 KB

In this letter, we study Neumann problems with nonlinear boundary conditions. We do not assume that the right-hand side or the nonlinearity of the boundary condition are Caratheodory functions. We use the subdifferential for locally Lipschitz functionals due to Clarke [l].

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A new concept of a pair of upper and lower solutions is introduced for a class of discrete boundary value problems without monotone nonlinearities. Some comparison results are established. An existence and enclosing theorem for the solutions is given in terms of upper and lower solutions. A new mono