In this work, we use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation p t xΔ t γ Δ q t f x τ t 0, on a time scale T, where γ is the quotient of odd positive integers and p(t) and q(t) are positive right-dense continuous rd-continuous functions on T. Our results improve and extend ...

This short paper presents an hyperstability theorem for hybrid dynamic systems composed of coupled differential and difference equations subject to time varying nonlinearities satisfying a Popov ' s type inequality . Some corollaries and related physical interpretations are also given.

The hypergeometric function is shown to be logarithmically concave in integer values of one of its parameters. The methods used are probabilistic. THEOREM. Let m, and g be positive integers satisfying 3 <=i + <_ g, and let z be a negative real number. Then {2Fl[-m,i’g’z]} 2 > 2Fl[-m,i + 1;g;Z]EFl[-m,i1;g;z]. We first establish the following lemma concerning the evaluation of the generating func...

OuIang inequalities and their generalizations have proved to be useful tools in oscillation theory, boundedness theory, stability theory, and other applications of differential and difference equations. A nice introduction to continuous and discrete OuIang inequalities can be found in 1, 2 , and studies in 3–5 give some of their generalizations to multiple integrals and higher-dimensional space...

We present a version of Opial’s inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.

The analysis that follows tests the regression model of Income Inequality by examining the relation among Gini coefficient, GDP growth rate, saving rate and so on within the same country. The purpose of this study is to test out the relation between income inequality and economic growth rate, and the result suggests that income inequality has a negative impact on economic growth rate in the cas...

we introduce variational inequality problems on hilbert $c^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. then relation between variational inequalities, $c^*$-valued metric projection and fixed point theory  on  hilbert $c^*$-modules is studied.

OBJECTIVE To investigate relations between labour market income inequality and mortality in North American metropolitan areas. METHODS An ecological cross sectional study of relations between income inequality and working age (25-64 years) mortality in 53 Canadian (1991) and 282 US (1990) metropolitan areas using four measures of income inequality. Two labour market income concepts were used:...