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On asymptotic behavior of solution of almost linear and essentially nonlinear functional differential equations (GNSF/ST09-81-3-101.)


Funded by

SRNSFGShota Rustaveli National Science Foundation of Georgia

Start Date: 2011-01-01       End Date: 2012-01-01

The project includes the following objectives:
Oscillation of nonlinear difference equations with delayed argument;
The Sturm type integral comparison theorems for singular differential equations;
Comparison theorems and some two-point boundary value problems for second order linear differential equation.
Oscillatory properties of solutions of generalized Emden-Fowler equations.
Oscillation criteria for higher order nonlinear functional differential equations with advanced argument.

Project members:

Talks

  • Oscillatory Properties of Solutions of Generalized Emden-Fowler Equations, by Roman Koplatadze (Speaker) at International Conference of Differential & Difference Equation and Applications (Ponta Delgada, Portugal, 2011), 2011, Ponta Delgada, Portugal.

Additional Information

The following scientific works were performed:
1. Oscillation of nonlinear difference equations with delayed argument Commun. Appl. Anal. 16
(2012), No. 1, 87–95 (with S. Pinelas).
2. The Sturm type integral comparison theorems for singular differential equations. Proc. A.
Razmadze Math. Inst. 160 (2012), 65-70.
3. Comparison theorems and some two-point boundary value problems for second order linear
differential equation. Reports of Seminar of I. Vekua Institute of Applied Mathematics. 38
(2012), 38-41.
4. Oscillatory properties of solutions of generalized Emden-Fowler equations. Springer Proc. in
Mathematics and Statistics. 47 (2013), 45-62.
5. Oscillation criteria for higher order nonlinear functional differential equations with advanced
argument. Nonlinear Oscillations 16 (2013), No. 1, 44-64.