Abstract{We consider the boundary value problem:8<:x(m)(t) = f(t; x(t)); a · t · b; m > 1x(a) = ¯0¢x(k) ´ x(k)(b) ¡ x(k)(a) = ¯k+1; k = 0; :::;m ¡ 2where x(t) = (x(t); x0(t); ::::; x(m¡1)(t)), ¯i 2 R;i = 0; :::;m ¡ 1, and f is continuous at least in theinterior of the domain of interest. We prove the ex-istence and uniqueness of the solution under certainconditions.
Abstract{We consider the boundary value problem:8<:x(m)(t) = f(t; x(t)); a · t · b; m > 1x(a) = ¯0¢x(k) ´ x(k)(b) ¡ x(k)(a) = ¯k+1; k = 0; :::;m ¡ 2where x(t) = (x(t); x0(t); ::::; x(m¡1)(t)), ¯i 2 R;i = 0; :::;m ¡ 1, and f is continuous at least in theinterior of the domain of interest. We prove the ex-istence and uniqueness of the solution under certainconditions.
No Classic Boundary Conditions
SERPE, Annarosa
;COSTABILE FRANCESCO A.;BRUZIO A.
2007-01-01
Abstract
Abstract{We consider the boundary value problem:8<:x(m)(t) = f(t; x(t)); a · t · b; m > 1x(a) = ¯0¢x(k) ´ x(k)(b) ¡ x(k)(a) = ¯k+1; k = 0; :::;m ¡ 2where x(t) = (x(t); x0(t); ::::; x(m¡1)(t)), ¯i 2 R;i = 0; :::;m ¡ 1, and f is continuous at least in theinterior of the domain of interest. We prove the ex-istence and uniqueness of the solution under certainconditions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
