RECENT PUBLICATIONS (1999-2005)
- Zs. Pales and V. Zeidan, Infinite dimensional Clarke generalized Jacobian'', Journal of Convex Analysis, {(in press)}.
- R. Hilscher and V. Zeidan, Solvability of the discrete LQR-problem under minimal
assumptions, ``Proceedings of the Ninth International Conference on Difference Equations and Applications'' (Los Angeles, 2004), L.Allen, B.Aulbach, S.Elaydi, and R.Sacker, editors, editors, World Scientific Publishing Co., London, {2005}, 273--282}.
- R. Hilscher and V. Zeidan,
Nonnegativity and positivity of a quadratic functional in the discrete
calculus of variations, Difference Equ. Appl., 11 (2005), no. 2, 857--875.
- R. Hilscher, and V.Zeidan, Legendre, Jacobi, and Riccati type conditions for
a time scales calculus of variations problem, Dynamic Systems and Applications, (in press).
- R. Hilscher and V. Zeidan, Discrete
quadratic functionals with jointly varying endpoints via separable endpoints,
In: Proceedings of the Sixth International Conference on Difference Equations
and Applications'' (Augsburg, 2001), B. Aulbach,
S. Elaydi, and G. Ladas,
editors. Taylor and Francis, CRC, Boca Raton, FL, (2004), 461--470.
- Zs. Pales and V. Zeidan, First and Second-Order Optimality Conditions for
Strong Local Minimum in Control Problems with Pure State Constraints, Journal
of Global Optimization, 28(2004), 363-377.
- R. Hilscher, and V. Zeidan, Equivalent conditions to the nonnegativity
of a quadratic functional in discrete optimal control. Math.
Nachr. 266
(2004), 48--59.
- Zs. Pales and V. Zeidan, Critical and critical tangent cones in
Optimization Problems, Set-Valued Analysis, 12(2004), 241-258.
- R. Hilscher, and V. Zeidan, Calculus of variations on time scales: weak
local piecewise C\sp 1\sb {\rm rd} solutions with variable endpoints. J.
Math. Anal. Appl. 289 (2004), no.
1, 143--166
- R. Hilscher and V.Zeidan, Coupled intervals in the discrete optimal control,
J. Difference Equ. Appl., 10 (2004),
no. 2, 151--186.
- R. Hilscher, and V.Zeidan, A remark on discrete quadratic functionals with
separable endpoints. Rocky
Mountain J. Math. 33 (2003), 1337--1351.
- Zs. Pales, and V. Zeidan, Optimal control problems with set-valued control
and state constraints. SIAM
J. Optim. 14 (2003), 334--358.
- K. Shamseddine,.
and V. Zeidan, Constrained second order optimization on non-Archimedean fields.
Indag.
Math. (N.S.) 14 (2003), 81--101.
- O.Dosly, R.Hilscher and V.Zeidan, Nonnegativity
of discrete quadratic functionals corresponding to symplectic difference
systems, Linear Algebra Appl. 289 (2003), 21--44.
- R. Hilscher and V. Zeidan, Symplectic difference systems: variable
stepsize discretization and discrete quadratic functionals, Linear Algebra
Appl., 367 (2003). 67-104.
- K. Shamseddine and V. Zeidan, Constrained second order optimization on non-archimedean fields, {\it Indagationes Mathematicae},14 (2003), no. 1, 81--101.
- R. Hilscher and V. Zeidan, Nonnegativity of a discrete
quadratic functional in terms of the (strengthened) Legendre and Jacobi
conditions, Advances in
Difference Equations, IV, Comput. Math. Appl., 45 (2003),
1369--1383.
- Zs. Pales and V. Zeidan, Strong local optimality conditions forcontrol
problems with mixed state-control constraints, Proceedings of the 41st
Conference on Decision and Control, Las Vegas, Nevada, (2002), 4738-3443.
- R. Hilscher and V. Zeidan, Coupled intervals in the discrete calculus of
variations: necessity and sufficiency, J. Math.
Anal. Appl. 276 (2002), 396--421.
- R. Hilscher and V. Zeidan, Discrete optimal control:
second order optimality conditions,
J. Difference Equ. Appl., 8 (2002),
875--896.
- R. Hilscher and V. Zeidan, Second order sufficiency criteria for a
discrete optimal control problem, J.
Difference Equ. Appl. 8 (2002), 573--602.
- K .Shamseddine and V. Zeidan, One dimensional optimization on non-archimedean
fields, J. Nonlinear Convex Anal., 2(2001),
351-361.
- V. Zeidan, New second-order optimality conditions for
variational problems with $C^2$-Hamiltonians,
SIAM Journal on Control and Optimization, 40 (2001), 577-609.
- Zs. Pales and V. Zeidan, The critical tangent cone in second-order
conditions for optimal control, Proceedings of the Third
World Congress of Nonlinear Analysts, (Catania 2000). Nonlinear
Anal. 47(2001), 1149-1161.
- H. Kawasaki and V. Zeidan, Conjugate points for variational problems with
equality and inequality state constraints, SIAM Journal on Control and
Optimization, 39 (2000), 433-456.
- Zs. Pales and V. Zeidan, Optimum Problems with measurable set-valued
constraints, SIAM Journal on Optimization, 11(2000), 426-443.
- R. Hilscher and V. Zeidan, Discrete optimal control: The accessory
problem and necessary optimality conditions, Journal of Mathematical Analysis
and Applications, 243 (2000), 429-452.
- Zs. Pales and V. Zeidan, Characterization of $L^1$-closed
decomposable sets in $L^{\infty}$,
Journal of Mathematical Analysis and Applications, 238 (1999), 491-515.
- Zs. Pales and V. Zeidan, Characterization of closed and open $C$-convex
sets with nonempty interior in $C(T,\R^r)$,
ACTA SCI. MATH. Szeged., 65 (1999), 339-357.
- Zs. Pales and V. Zeidan, Characterization of $L^1$-Closed
Decomposable Sets in $L^{\infty}$,
System Modelling and Optimization, (1999), 198-206.
- V. Zeidan, Nonnegativity and Positivity of a quadratic functional,
Dynamic Systems and Applications, 8(1999), 571-588.