𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extremal points for impulsive Lidstone boundary value problems

✍ Scribed by P.W Eloe; J Henderson; H.B Thompson

Book ID
104350839
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
831 KB
Volume
32
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

The first extremal point for a boundary value problem with impulse for an nth-order linear, ordinary differential equation is characterized by the existence of a nontrivial solution that lies in a cone. Cone theoretic arguments are applied to linear, monotone, compacts maps. To construct such maps, an impulse effect operator is constructed to complement the usual Green's function approach. An application is made to a nonlinear problem.

πŸ“œ SIMILAR VOLUMES

Singular Lidstone boundary value problem
Singular Lidstone boundary value problem with given maximal values for solutions
✍ Ravi P. Agarwal; Donal O'Regan; Svatoslav StanΔ›k πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 333 KB

The singular problem (-1) n x (2n) = f(t; x; : : : ; x (2n-2) ), x (2j) (0)=x (2j) (T )=0 (06j6n -1), max{x(t) : 0 6 t 6 T } = A depending on the parameter is considered. Here the positive Carathà eodory function f may be singular at the zero value of all its phase variables. The paper presents cond