- N. Dilna and A. Ronto. Unique solvability of a non-linear non-local boundary-value problem for systems of non-linear functional differential equations. Mathematica Slovaca, Vol. 60 (2010), No. 3., pp. 327–338.
- N. Dilna, M. Fečkan. About the uniqueness and stability of symmetric and periodic solutions of weakly nonlinear ordinary differential equations. Dop. Nats. Akad. Nauk Ukrainy, (2009), No. 5, pp. 22- 28 (in Russian).
- N. Dilna, M. Fečkan. On the uniqueness and stability of symmetric and periodic solutions of weakly nonlinear ordinary differential equations. Miskolc Mathematical Notes. Vol. 10 (2009), No. 1, pp. 11-40. URL: http://mat76.mat.uni-miskolc.hu/~mnotes/contents.php?number=+1+&volume=10
- N. Dilna and M. Fečkan. Weakly non-linear and symmetric periodic systems at resonance.
*Journal Nonlinear Studies,**,*No. 2, pp. 23-44. URL: www.nonlinearstudies.com/old/journal/Members/vol_16,_no.2,_2009.htm - N. Dilna, A. Ronto. General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations. Mathematica Bohemica. Vol. 133 (2008), No. 4, pp. 435-445.
- Nataliya Dilna. On Unique Solvability of the Initial Value Problem for Nonlinear Functional Differential Equations.
Vol.*Memoirs on Differential Equations and Mathematical Physics.***44**(2008), pp. 45-57. URL: http://www.jeomj.rmi.acnet.ge/memoirs/vol44/contents.htm - N. Dilna, A. Ronto, V. Pylypenko. Some coditions for the unique solvabilityof a nonlocal boundary-value problem for linear functional differential equations. Dop. Nats. Akad. Nauk Ukrainy, (2008), No. 6, pp. 13- 18 (in Ukrainian).
- A. Ronto, V. Pylypenko, N. Dilna. On the Unique Solvability of a Non-Local Boundary Value Problem for Linear Functional Differential Equations. Mathematical Modelling and Analysis. Vol. 13 (2008), No. 2, pp. 241-250. URL: http://inga.vgtu.lt/~art/
- N. Z. Dilna, A. N. Ronto. General conditions of the unique solvability of the Cauchy problem for systems of nonlinear functional-differential equations.
Vol. 60 (2008), No. 2, pp. 167-172.*Ukrainian Mathematical Journal.* - A. N. Ronto, N. Z. Dilna. Unique solvability conditions of the initialvalue problem for linear differential equations with argument deviations. Nonlinear Oscillations. Vol. 9 (2006), No. 4, pp. 535-547.
- A. M. Samoilenko, N. Z. Dilna, and A. N. Ronto. Solvability of the Cauchy problem for linear integral-differential equations with transformed arguments. Nonlinear Oscillations. Vol. 8 (2005), No. 3, pp. 388-403.
- N. Dilna. On the solvability of the Cauchy problem for linear integral differential equations. Miskolc Mathematical Notes. Vol. 5 (2004), No. 2, pp. 161- 171. URL: http://mat76.mat.uni-miskolc.hu/~mnotes/contents.php?volume=5&number=2#article104
- N. Z. Dilna and A. N. Ronto. On the solvability of the Cauchy problem for systems of linear functional differential equations with (\sigma, \tau)-positive right-hand sides. Dop. Nats. Akad. Nauk Ukrainy, (2004), No. 2, pp. 29- 35 (in Russian).
- N. Z. Dilna and A. N. Ronto. New solvability conditions for the Cauchy problem for systems of linear functional differential equations.
Vol. 56 (2004), No. 7, pp. 867 - 884.*Ukrainian Mathematical Journal.* - N. Dilnaya and A. Ronto. Multistage iterations and solvability of linear Cauchy problems,. Miskolc Mathematical Notes. Vol. 4 (2003), No. 2, pp. 89-102. URL: http://mat76.mat.uni-miskolc.hu/~mnotes/contents.php?volume=4&number=2#article81
## Preprints

**Vol. 60 (2010), No. 3, pp. 327-338**

*Mathematica Slovaca,*- Nataliya Dilna, Michal Fečkan. On the uniqueness and stability of symmetric and periodic solutions of weakly nonlinear ordinary differential equations.
*Preprint of the Mathematical Institute of the Slovak Academy of Sciences, Bratislava.**3/2008*(July 8, 2008), 30 p. www.mat.savba.sk/preprints/2008.htm - Nataliya Dilna, Michal Fečkan. Weakly nonlinear and symmetric periodic systems at resonance.
*Preprint of the Mathematical Institute of the Slovak Academy of Sciences, Bratislava. 1/2009*(February 9, 2009), 21 p. www.mat.savba.sk/preprints/2009.htm

Citations

The paper [15] N. Dilnaya and A. Ronto. Multistage iterations and solvability of linear Cauchy problems,

has been cited in such works:**Vol. 4 (2003), No. 2, pp. 89-102***Miskolc Mathematical Notes.*- J. Šremr. On the innitial value problem for two-dimensional systems of linear functional-differentional equations with monotone operators. Preprints of Academy of Sciences of the Czech Republic. 162/2005, 53 p.
- J. Šremr. A note on two-dimensional systems of linear differential inequalities with argument deviations,
*Miskolc Mathematical Notes*. 7, No. 2, 171-187, 2006,**MR, ZBL MATH** - J. Šremr. On systems of linear functional differential inequalities,
*Georgian Mathematical Journal*. 13(3), pp. 539-572, 2006.**MR, ZBL MATH** - J. Šremr. On the Cauchy type problem for systems of functional-differential equations.
*Nonlinear Analysis, Theory, Methods and Applications*.**67**, no. 12, pp. 3240-3260, 2007. SCI - J. Šremr and R. Hakl. On the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators,
*Nonlinear Oscillations*. 10(4), pp. 560-573, 2007.**SCOPUS** - E. I. Bravyi. On the solvability of the Cauchy problem for systems of two liner functional differential equations.
*Memoirs on Differential Equations and Mathematical Physics*. 41, pp. 11-26, 2007.**MR, ZBL MATH** - J. Šremr. On the Cauchy type problem for two-dimensional functional-differential systems.
*Memoirs on Differential Equations and Mathematical Physics*. 40, pp. 77-134, 2007,**MR, ZBL MATH** **J. Šremr. Solvabiliy conditions of the Cauchy problem for two-dimensional systems of linear functional-differential equations with monotone operators.****Mathematica Bohemica****132(2), 263-295, 2007.****J. Sremr. On the initial problem for two-dimensional systems of linear functional-differential equations with monotone operators.**Nr 37, pp. 87-108, 2007**Fasciculi Mathematici.****Z. Oplustil. On constant sign solution (nonpositive)**- A. Lomtatidze, Z. Opluštil та J. Šremr. Nonpositive solutions to a certain functional differential inequality.
*Nonlinear Oscillations*. 12(4) , pp. 461-494, 2009 - J. Sremr. On the initial value problem for two-dimensional linear functional differential systems. Memoirs on Differential Equations and Mathematical Physics, 50, pp. 1-127, 2010.

has been cited in such work:

- Z. Opluštil, J. Šremr,
*On a non-local boundary value problem for linear functional differential equations*, Electron. J. Qual. Theory Differ. Equ. (2009), No. 36, 1-13.