Concepedia

Necessary conditions of optimality for a class of optimal control problems on time scales

Yunfei Peng, Xianbo Xiang, Y. Gong, guangyuan Liu

Computers & Mathematics with Applications · 2009 · 10 citations · 9 references

DOI

Concepts

References

9

Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus

Stefan Hilger · Results in Mathematics · 1990 · 2K citations

, , +10

Integration on time scales

Gusein Sh. Guseinov · Journal of Mathematical Analysis and Applications · 2003 · 365 citations

, , +10

Expression of the Lebesgue <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle></mml:math>-integral on time scales as a usual Lebesgue integral; application to the calculus of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>Δ</mml:mi></mml:mstyle></mml:math>-antiderivatives

Alberto Cabada, Dolores Rodríguez Vivero · Mathematical and Computer Modelling · 2006 · 161 citations

, , +5

Triple solutions to boundary value problems on time scales

R.P. Agarwal, Donal O’Regan · Applied Mathematics Letters · 2000 · 59 citations

, , +15

A class of the first order impulsive dynamic equations on time scales

Hongbo Liu, Xianbo Xiang · Nonlinear Analysis · 2007 · 34 citations

, , +11