Faculty of Automation and Computer Science > Research > Mathematics > Research areas > Differential equations, optimal control

Differential equations, optimal control

Research team

Nicolaie Lung, Neculae Vornicescu, Viorica Muresan, Gheorghe Toader, Silvia Toader, Daniela Inoan, Alina Sintamarian, Adela Novac, Vasile Dincuta, Melania Moldovan

 

Research fields

  • Differential inclusions
  • Qualitative theory of differential equations
  • Differential equations with delayed argument
  • Chaos problems
  • Differential inequalities
  • Partial differential equations
  • Differential subordinations

 

Publications

D. Inoan, “Existence and behavior of solutions for variational inequalities over products of sets”, Mathematical Inequalities and Applications, 12 (4), 2009, 753-762.

 

N. Lungu, V. Dincuta, D. Inoan, A. Novac, M. Rus, “Differential Equations: Collection of Problems”, Matrix Rom, Bucuresti, 2009.

 

N. Lungu, “Ecuatii diferentiale si derivate partiale”, Editura UT Press, Cluj-Napoca, 2009.

 

N. Lungu, C. Craciun, “Abstract and concrete Gronwall lemmas”, Fixed Point Theory, 10 (2), 2009, 221-228.

 

N. Lungu, I. A. Rus, “On a functional Volterra-Fredholm integral equation via Picard operators”, Journal of Mathematical Inequalities, 3 (4), 2009, 519-527.

 

M. Moldovan, G. M. Seetharama, “On common linear/quadratic Lyapunov functions for switched linear systems, in  Nonlinear Analysis and Variational Problems” (chapter 25), 35, 2010, 415-429, Springer, New York, 2009.

 

V. Muresan, “A Fredholm integral equation with linear modification of the argument”, Journal of Applied Mathematics APLIMAT, 2 (2), 2009, 125-131.

 

V. Muresan, “An algorithm for the approximation of the solution of a functional integral equation”, Proceedings of the 11-th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2009, 26-29 September 2009, Timisoara, IEEE Computer Society, 157-161.

 

V. Muresan, “On the approximate solutionof a functional integral equation”, MDIS 2009, Universitatea Lucian Blaga din Sibiu, Proceedings of the First International Conference on Modelling and Development of Intelligent Systems, Sibiu, October 22-25, 2009, Lucian Blaga University Press, 2009, 143-150.

 

A. Novac, R. Precup, I.A.Rus, “Data dependence of fixed points for non-self generalized contractions”, Fixed Point Theory, 10 (1), 2009, 73-87.

 

D. Inoan, “Probleme de optimizare a formei pentru sisteme descrise de inegalitati variationale”, Editura Mediamira, Cluj-Napoca, 2008.

 

D. Inoan, J. Kolumban, “On pseudomonotone set-valued mappings”, Nonlinear Analysis. Theory, Methods & Applications, 68, 2008, 47-53.

 

D. Inoan, J. Kolumban, “An existence result for a parametric variational inequality”, Publicationes Mathematicae Debrecen, 73 (3-4), 2008, 299-307.

 

D. Inoan, “Some remarks on several pseudomonotonicity notions in the context of variational inequalities”, Automation Computers and Applied Mathematics, 17 (2), 2008, 247-254.

 

N. Lungu, “On some inequalities for Picard operators and applications”, Automation Computers and Applied Mathematics, 17 (3), 2008, 475-484.

 

N. Lungu, I. A. Rus, “Ulam stability of a nonlinear hyperbolic partial differential equation”, Carpathian Journal of Mathematics, 24 (3), 2008, 403-408.

 

V. Muresan, “Optimizari si ecuatii diferentiale”, Editura MEGA, Cluj-Napoca, 2008.

 

V. Muresan, “Weakly Picard operators'technique applied to a class of functional-integral equations”, APLIMAT-Journal of Applied Mathematics, 1 (1), 2008, 185-194.

 

V. Muresan, “A functional integral equation with linear modification of the argument, via weakly Picard operators”, Fixed Point Theory, 9 (1), 2008, 189-197.

 

V. Muresan, F. Calio, E. Marchetti, “Theoretical and numerical results about some weakly singular Volterra-Fredholm equations”, Revue d'Analyse Numerique et de Theorie de l'Approximation, Tome 37 (1), 2008, 27-36.

 

V. Muresan, “Step method for a functional-differential equation”, Automation Computers and Applied Mathematics, 17 (3), 2008, 359-368.

 

V. Muresan, “Step method  for a functional-differential equation in Banach space”, Carpathian Journal of Mathematics, 24 (3), 2008, 363-369.

 

V. Muresan, “Picard operators' technique applied to a class of functional-integral equations”, APLIMAT 2008, Proceedings of the 7-th International Conference APLIMAT 2008, February 5-8, 2008, Bratislava, 257-264; APLIMAT-Journal of Applied Mathematics, 1 (1), 2008, 185-194.

 

A. C. Novac, “Teoreme de continuare pentru contractii  generalizate si aplicatii”, Editura UT Press, Cluj-Napoca, 2008.

 

M.-D. Rus, “Positive solutions for singular nonlinear second-order boundary-value problems via mixed monotone iterative technique”, Automation Computers and Applied Mathematics, 17 (2), 2008, 317-322.

 

Gh. Toader, S. Toader, “On generalized homogeneous differential equation”, Automation Computers and Applied Mathematics, 17 (3), 2008, 573-577.


N. Lung, ”Volterra integral inequality in higher dimensions”, Fixed Point Theory, 8(1), 2007, 39-46.

 

N. Vornicescu, ”A Continuous Case of Student Optimal Control Problem”, Automation Computers Applied Mathematics. Scientific Journal, 15(2), 2006, 321-326.

 

N. Lungu, “On some Volterra Integral Inequalities”, Fixed Point Theory, 7(2), 2006, 77-82.

 

N. Lungu, “Gronwall's inequality for systems of hyperbolic type”, Proceedings of the 11th Symposium of Mathematics and its Applications, Timisoara, 2006, 191-196.

 

A. Sintamarian, ”Selections and common fixed points for some multivalued mappings”, Fixed Point Theory , 7(1), 2006, 103-110.

 

F. Calio, E. Marchetti, V. Muresan, ”On some Volterra-Fredholm integral equations”, International Journal of Pure and Applied Mathematics, 31(2), 2006, 173-184.

 

A. Chis, ”Fixed point theorems for multivalued generalized contractions on complete gauge spaces”, Carpathian Journal of  Mathematics, 22(1-2), 2006, 33-38.

 

A. Chis, ”Initial value problem on semi-line for differential equation with advanced argument”, Fixed Point Theory, 7(1), 2006, 37-42.

 

A. S. Muresan, V. Muresan, ”Some applications of the weakly Picard operators”, Automation Computers Applied Mathematics. Scientific Journal, 15(2), 2006, 239-245.

 

N. Vornicescu, ”A generalized student optimal control problem”, Pure Mathematics and Applications, PU. M. A, 15(2), 2005, 349-356.

 

A. Sintamarian, ”Pairs of multivalued operators”, Nonlinear Analysis Forum, 2005, 10(1), 55-67.

 

I. A. Rus, A. S. Muresan, V. Muresan, ”Weakly Picard operators on a set with two metrics”, Fixed Point Theory, 6(2), 2005, 323-331.

 

V. Muresan, ”Existence, uniqueness and data dependence for the solutions of some integrodifferential equations of mixed type in  Banach space”, Journal for Analysis and its Applications, 23(1), 2004, 205-216.

 

A. Sintamarian, “Fixed points and common fixed points for some multivalued operators”, Fixed Point Theory, 5 (1), 2004, 137-145.

 

A. Chis and R. Precup, ”Continuation theory for general contractions in gauge spaces”, Fixed Point Theory and Applications, 2004, 173-185.

 

V. Dincuta, “Nonlocal initial value problem for first order differential equations”, Automation Computers and Applied Mathematics. Scientific Journal, 13(1), 2004, 79-82.

 

V. Dincuta, “Existence results for system of periodic operator equations”, Fixed Point Theory, 4(1), 2003, 61-77.