Ordinary differential equations in Banach lattices

Weigel, H.

facul_01; 17

Abstract:
In the present paper initial value problems
$x' = f(t,x), t\in I = [0,1], x(0)=x_0$ in Banach
lattices will be investigated with respect to order and
topological properties of their solution sets
$S(f) \subset C(I,X)$.

Primary MSC: 34G20 Nonlinear equations, 46B42 Banach lattices
Keywords: Banach lattice, initial value problem, path connectedness, solution set