Abstract
In this short article we have discussed trajectory controllability of the second order nonlinear integro-differential system by using theory of monotone operators and tools of cosine operators. We will then describe a general method for computing numerical approximations to control functions. We will illustrate this method with a nonlinear integro-differential equations and a nonlinear hyperbolic equation in one and two spatial dimensions.
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Acknowledgments
First author expresses his thanks to Grant-In-Aid, Jackson-Hope grant of VMI (JH 2014) for kind support. Authors express their gratitude to all three anonymous referees for valuable comments and suggestions which are helpful to modify the manuscript.
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Chalishajar, D., Chalishajar, H. Trajectory Controllability of Second Order Nonlinear Integro-Differential System: An Analytical and a Numerical Estimation. Differ Equ Dyn Syst 23, 467–481 (2015). https://doi.org/10.1007/s12591-014-0220-z
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DOI: https://doi.org/10.1007/s12591-014-0220-z
Keywords
- Trajectory controllability
- Second order Integro-differential system
- Monotone operator theory
- Cosine operators
- Finite difference
- Optimization