Let E be a real Banach space and P a cone in E which defines a partial ordering in E by x ≤ y if and only if y − x ∈ P . P is said to be normal if there exists a positive constant N such that θ ≤ x ≤ y implies ||x|| ≤ N||y||, where θ denotes the zero element of E and the smallest N is called the normal constant of P . If x ≤ y and x / y, we write x < y. For details on cone theory, see 1 . In pa...

When one incorporates transport effects into a surface-volume reaction, an integrodifferential equation for the bound state concentration occurs. Such a form is inconvenient for data analysis. An effective rate constant approximation for the solution is correct to 0(Da2) as the Damkohler number Da ---) 0. A numerical simulation of the integrodifferential equation is performed which shows that t...

Integrodifferential equations arise in many fields of science and engineering such as fluid dynamics, biological models, and chemical kinetics. A detailed investigation of integrodifferential equations and their solution via the Laplace transform method can be found in the work of Burton (1983). Recently, fractional integrodifferential equations have been used to model various physical phenomen...

Abstract. Here we utilize operator–valued Lq → Lp Fourier multiplier theorems to establish lower bound estimates for large class of elliptic integrodifferential equations in R. Moreover, we investigate separability properties of parabolic convolution operator equations that arise in heat conduction problems in materials with fading memory. Finally, we give some remarks on optimal regularity of ...