[1] Balabushenko T.M. Properties of solutions of 2b- parabolic systems in domains unbounded with respect to the time variable. Math. Stud. 2002, 18 (1), 69–78.
[2] Balabushenko T.M. Estimates of the fundamental matrix of solutions of the Cauchy problem for 2b-parabolic systems in unbounded domains with respect to the time variable and their application. Herald of the National Lviv Polytechnic University. 411, Applied Mathematics. 2000, 6–11.
[3] Balabushenko T.M. On estimates in unbounded relative to time variable domains of the fundamental matrix of solutions of the Cauchy problem for 2b- parabolic systems. Math. Stud. 2002, 17 (2), 163–174.
[4] Balabushenko T.M., Ivasyshen S.D. On the properties of solutions of 2b-parabolic systems in domains unbounded by the time variable. Math. methods and phys.-mech. fields. 2002, 45 (4), 19 – 26.
[5] Balabushenko T.M., Ivasyshen S.D.Ñonstruction and evaluation of the fundamental matrices of solutions of the polynomial combination of 2b- elliptic systems generated by 2b-parabolic systems. Scien. bulletin of Chernivtsi University: Collection of scientific works. 160, Mathematics, Chernivtsi: Ruta, 2003, 5–10.
[6] Ivasyshen S.D. On integral representations and the Fatou property for solutions of parabolic systems. Advances in Math. Sciences. 1986, 41 (4), 173–174.
[7] Ivasyshen S.D. Integral representation and initial values of solutions of 2b-parabolic systems. Ukr. Math. Journal 1990, 42 (4), 500 – 506.
[8] Ivasyshen S.D.,Eidelman S.D. ~ 2b-parabolic systems. Proceedings of the Seminar on Functional Analysis. K.: Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR, 1968, 1, 3 – 175, 271 – 273.
[9] Ivasyshen S.D., Kondur O.S. On the Green’s matrix of the Cauchy problem and the characterization of some classes of solutions for 2b-parabolic systems of arbitrary order. Math. Stud. 2000, 14 (1), 73 – 84.
[10] Ivasyshen S.D., Pasichnyk H.S. On the Cauchy problem for 2b-parabolic systems with increasing coefficients. Ukr. Math. Journal 2000, 52 (11), 1484 – 1496.
[11] Ivasyshen S. D., Ivasyuk G. P. On properties for the fundamental matrix of solutions of the Cauchy problem for 2b-parabolic systems. Scien. bulletin of Chernivtsi University: Collection of scientific works. 349, Mathematics, Chernivtsi: Ruta, 2007, 32–36.
[12] Ivasyshen S. D., Ivasyuk G. P. Solonnikov parabolic systems of quasi-homogeneous structure. Ukr. Math. Journal 2006, 58 (11), 1501 – 1510.
[13] Ivasyshen S. D., Ivasyuk G. P. Parabolic initial Solonnikov-Eidelman problems. Visnyk Lviv. Univ. Ser. mech.-math. 2011. 74, 98–108.
[14] Ivasyuk G. P. On properties of the potentials of model ~ 2b-parabolic equation of arbitrary order. Scien. bulletin of Chernivtsi University: Collection of scientific works. 288, Mathematics, Chernivtsi: Ruta, 2006, 51–56.
[15] Korkuna O.E. Cauchy problem for a semilinear Eidel’man parabolic equation. Ukr. Math. J. 2008. 60, 671–691. https://doi.org/10.1007/s11253-008-0081-0
[16] Korkuna O.E. Mixed problem for nonlinear Eidelman equation with integral term. Carpathian Math. Publ. 2012. 4 (2), 275–283.
[17] Korkuna O.E., Lavrenyuk S.P. Mixed prblem for a nonlinear Eidel’man type equation in an unbounded domain. Reports NAS of Ukraine. 2008. 4, 24–30.
[18] Korkuna O.E., Lavrenyuk S.P. On properties of solution for mixed problem for nonlinear 2b-parablic equation. Nauk. Visnyk Cherniv. Univ. Mathematics. 2006. 314-315, 100–104.
[19] Korkuna O., Lavrenyuk S. On a support of solution for the Cauchy problem for nonlinear 2b-parabolic equation. Visnyk Lviv. Univ. Ser. mech.-math. 2007. 67, 153–165.
[20] Protsakh N.P. Inverse Problem for a Weakly Nonlinear Eidelman-Type Equation with Unknown Minor Coefficient. J. Math. Sci. (United States). 2021. 258 (5), 698–712.
[21] Torgan G.R. Non-existance of a global solution for mixed problem for Eidelman type equation. Prykl. problemy mech. math. 2008. 6, 98–103.
[22] Eidelman S.D. On a class of parabolic systems. Reports USSR Acad. Sci. 1960. 133 (1), 40–43.
[23] Eidelman S.D., Ivasyshen S.D., Kochubei A.N. Analytic methods in the theory of differential and pseudodifferential equations of parabolic type. Birkhäuser Verlag. 2004, 390 pp.
[24] Protsakh N. P., Parasiuk-Zasun O. E. Inverse problem for semilinear Eidelman type equation. Mat. Stud. 2020. 53 (1), 48–58.
- ACS Style
- Protsakh , N.P.; Ivasyuk, H.P.; Fratavchan, T.M. On problems for Eidelman type equations and system of equations. Bukovinian Mathematical Journal. 2023, 10 https://doi.org/https://doi.org/10.31861/bmj2022.02.17
- AMA Style
- Protsakh NP, Ivasyuk HP, Fratavchan TM. On problems for Eidelman type equations and system of equations. Bukovinian Mathematical Journal. 2023; 10(2). https://doi.org/https://doi.org/10.31861/bmj2022.02.17
- Chicago/Turabian Style
- Nataliya Petrivna Protsakh , Halyna Petrivna Ivasyuk, Tonia Mykhailivna Fratavchan. 2023. "On problems for Eidelman type equations and system of equations". Bukovinian Mathematical Journal. 10 no. 2. https://doi.org/https://doi.org/10.31861/bmj2022.02.17