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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2014, Issue 1(34), Pages 48–55 (Mi vsgtu1289)

Problems with conjunction on a characteristic plane for the third-order hyperbolic equation in the three-dimensional space
I. N. Rodionova, V. M. Dolgopolov

References

1. V. F. Volkodavov, E. I. Tomina, On the uniqueness of the solution for some boundary value problems of Lavrentiev–Bitsadze equation, Dep. VINITI. 9.03.1993. 547–B93, 1993 (In Russian)
2. V. F. Volkodavov, S. G. Maklakov, “An inversion formula for a Volterra equation of the first kind and its application”, Russian Math. (Iz. VUZ), 40:9 (1996), 14–17  mathnet  mathscinet  zmath
3. V. F. Volkodavov, V. N. Zakharov, “Extremal properties of solutions of a third-order equation of hyperbolic type in three-dimensional space and their application”, Russian Math. (Iz. VUZ), 43:4 (1999), 26–29  mathnet  mathscinet  zmath
4. V. F. Volkodavov, E. R. Mansurova, “A boundary value problem for a particular form of the Euler–Darboux equation with integral conditions and special conjugation conditions on the characteristic”, Russian Math. (Iz. VUZ), 44:8 (2000), 14–17  mathnet  mathscinet  zmath
5. V. F. Volkodavov, Yu. A. Il'yushina, “The solution of the problem $T$ with conjugation of the normal derivative with the fractional derivative is unique for an equation of mixed type”, Russian Math. (Iz. VUZ), 47:9 (2003), 4–7  mathnet  mathscinet  zmath
6. E. R. Mansurova, “An analogue of the Tricomi problem with a nonlocal integral conjugation condition”, Russian Math. (Iz. VUZ), 53:4 (2009), 49–53  mathnet  crossref  mathscinet  zmath
7. E. R. Mansurova, “On the unique solvability of an analogue of the Tricomi problem with a nonlocal integral conjugation condition”, Math. Notes, 87:6 (2010), 844–853  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
8. I. N. Rodionova, “The problem with integral condition for one space analog of hyperbolic type equation degenerated on a coordinate planes”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2011, no. 2(23), 189–193 (In Russian)  mathnet  crossref  rsci
9. M. V. Dolgopolov, I. N. Rodionova, “Problems for equations of hyperbolic type in the plane or three-dimensional space with conjugation conditions on a characteristic”, Izv. Math., 75:4 (2011), 681–689  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
10. V. M. Dolgopolov, I. N. Rodionova, “Two problems for three-dimensional space analogue of the third order hyperbolic type equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2012, no. 4(29), 212–217 (In Russian)  mathnet  crossref  rsci
11. S. G. Mikhlin, Integral Equations, OGIZ, Moscow, Leningrad, 1947 (In Russian)


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