Concepedia

Nonlinear integro-differential equations and optimal control problems on time scales

guangyuan Liu, Xianbo Xiang, Yunfei Peng

Computers & Mathematics with Applications · 2010 · 21 citations · 13 references

DOI

Concepts

References

13

Integration on time scales

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

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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

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Weak maximum principle and accessory problem for control problems on time scales

Roman Šimon Hilscher, Vera Zeidan · Nonlinear Analysis · 2008 · 67 citations

, , +14

Some Pachpatte type inequalities on time scales

Wei Nian Li · Computers & Mathematics with Applications · 2008 · 54 citations

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Initial value problem for first-order integro-differential equation of Volterra type on time scales

Yepeng Xing, Maoan Han, Guang Zheng · Nonlinear Analysis · 2004 · 51 citations

, , +14