# Artur Hovhannisyan's Publications (Full profile)

### Paper

- Solution of Hadamard's Problem for one class of Hyperbolic Equations with Variable Coefficients, Izv. Acad. Nauk Arm. SSR, ser. Math. , 26, (2), pp. 163-170, (1991)
- Generalization of the Lagnese-Stellmacher Method for one Class of Equations Satisfying the Huygens Principle, Izv. Acad. Nauk Arm. SSR, ser. Math. , 25, (5), pp. 462-473, (1990)
- Construction of a Parametrix for the Cauchy Problem with Weight for Second Order Hyperbolic Equations with Unbounded Coefficients, Izv Acad. Nauk Arm. SSR, ser. Math. , 21, (1), pp. 33-50, (1986)
- Conformal Invariance Huygens Principle and Fundamental Solutions for Scalar Second Order Hyperbolic Equations, In: Modern Group Analysis: Advanced Analytical and Computational Methods. Edited by N. H. Ibragimov et al. The Hague: Kluwer Academic Publishers
- Huygens principle, Painleve property and nonlinear differential equations, Dokl. Nat. Acad. Nauk Armenii, 94, (5), pp. 270-273
- Huygens principle and nonlinear differential equations, J. Contemp. Math. Anal. , ser. Math. , 29, (5), pp. 64-73
- On a nonlinear evolution equation admitting generalized Lax representation, Teoery of funcions and applications, Collection of works dedicated to the memory of M. M. Djrbashian, Yerevan, pp. 83-86
- On the correctness of the Cauchy problem for a certain class of weakly hyperbolic equation, Izv. Acad. Nauk Arm. SSR, ser. Math. v. VIII, (3), pp. 255-273
- Huygens principle in six dimensional space with the plane wave metric, J. Contemp. Math. Anal. , ser. Math. , 33, (6)
- On the Cauchy problem for high order weakly hyperbolic equations, Izv. Acad. Nauk Arm. SSR, ser. Math. v. X, (2), pp. 163-169
- On the Cauchy problem for weakly hyperbolic systems with data on the hyper plane of degeneracy, Dokl. Acad. Nauk Arm SSR, 61, (1), pp. 27-32
- On the method of investigation of Cauchy problem for weakly hyperbolic equations, Proc. of the Conf. on the Part. Diff. Eq. Devoted to Acad. I. G. Petrovsky at the 75-th anniversary of his birthday. Moscow Univ. Press, pp. 391-395
- On the local solvability and hypoellipticity for the class of second order equations, Dokl. Acad. Nauk Arm SSR, 70, (2), pp. 27-32
- Construction of a Parametrix for an Initial Value Problem for one Class Hyperbolic Equations with Unbounded Coefficients, Dokl. Acad. Nauk, Arm. SSR, 84, (1), pp. 13-16
- Construction of hyperbolic equations with variable coefficients, satisfying Huygens principle, Dokl. Acad. Nauk SSSR, 314, (5), pp. 1072-1075
- Huygens' Principle for one Class of Hyperbolic Equations with Variable Coefficients, Differ. Uravnenia, 27, (8), pp. 1402-1409
- Hierarchy of Huygens Equations in the Space with Nontrivial Conformal Group, Uspekhi Math. Nauk, 46, (3), pp. 111-146
- On the method for constructing the Huygens equations, J. Integr. Eq. and Math. Physics. , 1, (1), pp. 105-113

### Book

- Ordinary Differential Equations, Yerevan, pp. 184
- Mathematical Physics, Yerevan, sec. ed., pp. 167
- Ordinary Differential Equations, Yerevan, pp. 320
- Mathematical Physics, Yerevan, pp. 147