In this paper we study the existence of mild solutions for abstract partial functional differential equation with state-dependent delay.

In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. The definition of mild solutions for the studied problem was given based on an operator family generated by the operator pair [Formula: see text] and probability density function. Com...

In this article, the effect of potassium on structure and anticorrosion properties of zinc phosphate pigments has been investigated. The co-precipitation method was selected as synthesis method of potassium zinc phosphate pigment. Then the synthesized pigment was characterized by x-ray diffraction XRD, Fourier transform infrared FTIR and Raman spectroscopy. Morphology of the powders was investi...

We study the exact and approximate solutions of a delay differential equation with various types of nonlocal history conditions. We establish the existence and uniqueness of mild, strong, and classical solutions for a class of such problems using the method of semidiscretization in time. We also establish a result concerning the global existence of solutions. Finally, we consider some examples ...

the levels of serum tota1 protein, albumin, transaminases and phosphatases were estimated in a group of children with severe marasmus or mild malnutrition in order to identify some of the associated deficiencies in these syndromes. the biochemical pattern was similar in the normal and malnourished children.

this paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + v(x)u=g(x, v), -triangle v - b(x)nabla v + v(x)v=f(x, u), end{array} right. $$ for $x in {r}^{n}$, where $v $, $b$ and $w$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. in this paper, we give a new technique to show the boundedness of cerami sequences and establi...

Convolution complementarity problems have the form 0 ≤ u(t) ⊥ (k∗u)(t)+q(t) ≥ 0 for all t. These are shown to have solutions provided k(t) satisfies some mild regularity conditions, and provided k(0) is a P-matrix. Uniqueness follows under some further mild regularity conditions. An application to an impact problem is used to illustrate the theory.

<p style='text-indent:20px;'>We discuss the existence and uniqueness of mild solutions for a class quasi-linear fractional integro-differential equations with impulsive conditions via Hausdorff measures noncompactness fixed point theory in Banach space. Mild solution controllability is discussed two particular cases.</p>