Start Date: 2013-10-16 End Date: 2014-04-15
Solutions are established for functional differential equations Asymptotic Behavior. In particular, the existence of oscillating and volatile solutions. this Was performed in the direction
The following scientific works were performed:
1. Oscillation criteria for higher order nonlinear functional differential equations with advanced argument. Translated from Nelīnīĭnī Koliv.16 (2013), no. 1, 44--64 J. Math. Sci. (N.Y.) 197 (2014), no. 1, 45—65.
2. On oscillatory properties of solutions of n-th order generalized Emden-Fowler differential equations with delay argument. Reports of Seminar of I. Vekua Institute of Applied Mathematics 40 (2014), 32-38.
3. Oscillation criteria for difference equations with several delay arguments. Reports of Seminar of I. Vekua Institute of Applied Mathematics 40 (2014), 28-31, 81
4. Oscillation criteria for differential equations with several retarded arguments. Funkcialaj Ekvacioj (with G. Infante, I. Stavroulakis) 58 (2015), No. 3, 347-364.
5. On higher order "almost linear'' functional differential equations with property A and B. Semin. I. Vekua Inst. Appl. Math. Rep. 41 (2015), 33--38, 64.
6. Specific properties of solutions of first order differential equations with several delay arguments. J. Contemporary Math. Anal. 50 (2015) No. 5, 229-235.
7. On higher order generalized Emden-Fowler differential equation with delay argument. Nonlinear Oscillations 18 (2015), No. 4, 507-526 (with A.Domoshnitsky).
8. Oscillation criteria for first order linear difference equations with several delay arguments. Nonlinear Oscillations 17 (2014), N. 2, 247-267 (with S. Pinelas).
9. Oscillation criteria for differential equations with several retarded arguments. Funkcialaj Ekvacioj (with G. Infante, I. Stavroulakis) 58 (2015), No. 3, 347-364.
(published)
1. Oscillation criteria for difference equations with several delay arguments. Reports of Seminar of I. Vekua Institute of Applied Mathematics 40 (2014), 28-31, 81.
2. Oscillation criteria for differential and discrete equations with several delays. Bulletin of TICMI, 18 (2014), 10-17.
3. Oscillation criteria for higher order nonlinear functional differential equations with advanced argument. translated from Nelīnīĭnī Koliv.16 (2013), no. 1, 44--64 J. Math. Sci. (N.Y.) 197 (2014), no. 1, 45—65.
4. On oscillatory properties of solutions of n-th order generalized Emden-Fowler differential equations with delay argument. Reports of Seminar of I. Vekua Institute of Applied Mathematics 40 (2014), 32-38.
5. Oscillation criteria for difference equations with several delay arguments. Reports of Seminar of I. Vekua Institute of Applied Mathematics 40 (2014), 28-31, 81.