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Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice
(Taylor & Francis, 2015)
The Allen-Cahn equation - Delta u = u - u (3) in DOUBLE-STRUCK CAPITAL R-2 has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem -u '' =u - u (3). In this paper ...
The geometry of quadratic polynomial differential systems with a finite and an infinite Saddle-node (A, B)
(World Scientific Publishing CompanySingapore, 2014-04)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. Classical ...
The geometry of quadratic polynomial differential systems with a finite and an infinite Saddle-Node (C)
(World Scientific PublishingSingapore, 2015-03)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. Classical ...
A maximum principle for infinite time asymptotically stable impulsive dynamic control systems
(2010-12-01)
We consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary ...
A maximum principle for infinite time asymptotically stable impulsive dynamic control systems
(2010-12-01)
We consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary ...
Stability results for impulsive functional differential equations with infinite delay
(Pergamon-Elsevier B.V. Ltd, 2012-12-01)
For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium ...
Stability results for impulsive functional differential equations with infinite delay
(Pergamon-Elsevier B.V. Ltd, 2012-12-01)
For a family of differential equations with infinitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium ...
Stability results for impulsive functional differential equations with infinite delay
(Pergamon-Elsevier B.V. Ltd, 2013)