On a Theorem of Mierczyński
Gerd Herzog (1998)
Colloquium Mathematicae
Similarity:
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.