This paper is devoted to novel diamond alpha Hardy–Copson type dynamic inequalities,
which are ζ< 0 complements of the classical ones obtained for ζ> 1, and their applications to …

In this paper we investigate a Sturm–Liouville eigenvalue problem on time scales. Existence
of the eigenvalues and eigenfunctions is proved. Mean square convergent and uniformly …

We extend classical nabla and delta Hardy–Copson type inequalities from ζ> 1 ζ> 1 to 0< ζ<
1 0< ζ< 1 and also use these novel inequalities to find necessary and sufficient condition for …

In this paper, two kinds of dynamic Bennett‐Leindler type inequalities via the diamond alpha
integrals are derived. The first kind consists of eight new integral inequalities which can be …

For the exponent ζ> 1, the diamond alpha Bennett–Leindler type inequalities are
established by developing two methods, one of which is based on the convex linear …

arXiv:0910.0085v2 [math.OC] 17 Jan 2010 Page 1 arXiv:0910.0085v2 [math.OC] 17 Jan 2010
Time scales: from Nabla calculus to Delta calculus and vice versa via duality M. Cristina …

We aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale
calculus by changing the exponent from $0<\zeta< 1$ to $\zeta> 1. $ Different from the …

The paper develops algebraic formalism of differential one-forms, associated with the
nonlinear control system defined on homogeneous time scales. This formalism unifies the …

Solving soliton equations on the time–space scale has always been a challenging issue. In
this paper, we firstly generalize the Ablowitz–Kaup–Newel–Segur (AKNS) method to the …

The paper describes an algebraic construction of the inversive differential ring, associated
with a nonlinear control system, defined on a nonhomogeneous but regular time scale. The …