Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

We study the existence of positive solutions of the equation u״ (t) + a (t) f (u(g(t))) = 0, 0 < t < 1 with linear boundary conditions. We show the existence of at least one positive solution if f is ...

This is a preview. Log in through your library . Abstract Let 𝕏 be a Banach space. Let A be the generator of an immediately norm continuous C0-semigroup defined on 𝕏. We study the uniform ...