Cauchy problems involving a small parameter

A Two-parameter Generalized Skew-Cauchy Distribution

In this paper, we discuss a new generalization of univariate skew-Cauchy distribution with two parameters, we denoted this by GSC(&lambda1, &lambda2), that it has more flexible than the skew-Cauchy distribution (denoted by SC(&lambda)), introduced by Behboodian et al. (2006). Furthermore, we establish some useful properties of this distribution and by two numerical example, show that GSC(&lambd...

Cauchy Problems for Functional Evolution Inclusions Involving Accretive Operators

We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness.

Inhomogeneous Two-Parameter Abstract Cauchy Problem

inhomogeneous two-parameter abstract cauchy problem

Cauchy Problems and Applications

Of concern is the Cauchy problem du dt ∈ Au, u(0) = u0, t > 0, where u : [0,∞) → X, X is a real Banach space, and A : D(A) ⊂ X → X is nonlinear and multi-valued. It is showed by the method of lines, combined with the Crandall–Liggett theorem that this problem has a limit solution, and that the limit solution is a unique strong one if A is what is called embeddedly quasi-demi-closed. In the case...