On a boundary value problem for nonlinear functional differential equations. (13th November 2005)

• Record Type: Journal Article
• Authors: Hakl, Robert
• Is Part Of: Boundary value problems. Volume 3(2005)
• Page Start: 263
• Page End: 288
• Publication Date: 2005-11-13
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/BVP.2005.263
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We consider the problemu ′ ( t ) = H ( u ) ( t ) + Q ( u ) ( t ), u ( a ) = h ( u ), whereH, Q : C ( [ a, b ] ; R ) → L ( [ a, b ] ; R ) are, in general, nonlinear continuous operators, H ∈ ℋ a b α β ( g 0, g 1, p 0, p 1 ), andh : C ( [ a, b ] ; R ) → R is a continuous functional. Efficient conditions sufficient for the solvability and unique solvability of the problem considered are established.