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Search: All articles in the CMB digital archive with keyword time scale

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1. CMB 2011 (vol 55 pp. 214)

Wang, Da-Bin
 Positive Solutions of Impulsive Dynamic System on Time Scales In this paper, some criteria for the existence of positive solutions of a class of systems of impulsive dynamic equations on time scales are obtained by using a fixed point theorem in cones. Keywords:time scale, positive solution, fixed point, impulsive dynamic equationCategories:39A10, 34B15

2. CMB 2008 (vol 51 pp. 161)

Agarwal, Ravi P.; Otero-Espinar, Victoria; Perera, Kanishka; Vivero, Dolores R.
 Wirtinger's Inequalities on Time Scales This paper is devoted to the study of Wirtinger-type inequalities for the Lebesgue \$\Delta\$-integral on an arbitrary time scale \$\T\$. We prove a general inequality for a class of absolutely continuous functions on closed subintervals of an adequate subset of \$\T\$. By using this expression and by assuming that \$\T\$ is bounded, we deduce that a general inequality is valid for every absolutely continuous function on \$\T\$ such that its \$\Delta\$-derivative belongs to \$L_\Delta^2([a,b)\cap\T)\$ and at most it vanishes on the boundary of \$\T\$. Keywords:time scales calculus, \$\Delta\$-integral, Wirtinger's inequalityCategory:39A10