2022-01-26T22:07:06Zhttps://openaccess.dogus.edu.tr/oai/requestoai:openaccess.dogus.edu.tr:11376/13292020-09-22T18:32:18Zcom_11376_129com_11376_101com_11376_3388com_11376_3389col_11376_707col_11376_3391col_11376_3390
Hasansoy, Mahir
2015-04-15T07:22:26Z
2015-04-15T07:22:26Z
2010-11
HASANOV, M. (2010). Eigenvalue problems for perturbed p-Laplacians. In ÖZEL, C., KILIÇMAN, A. (eds.). AIP Conference Proceedings, Vol. 1309, pp. 400-410. American Institute of Physics. https://dx.doi.org/10.1063/1.3525141.
9780735408630
0735408637
0094-243X
000287125700045 (WOS)
https://dx.doi.org/10.1063/1.3525141
https://hdl.handle.net/11376/1329
1309
400
410
This main subject of this paper is the problem of the existence of eigenvectors and a dispersion analysis of a class of multi parameter eiegenvalue problems for perturbed p-Laplacians. This paper is particularly, devoted to the problems of describing the eigen-parameters. Besides the p-Laplacian-like eigenvalue problems we also deal with new and nonstandard eigenvalue problems, which can not be solved by the methods used in the eigenvalue problems for p-Laplacians.
eng
info:eu-repo/semantics/closedAccess
Perturbed P - Laplacians
P-Laplacians
Eigenvalues
Variational Principles
Critical Points
Eigenvectors
Equations
Eigenvalue problems for perturbed p-Laplacians
conferenceObject
oai:openaccess.dogus.edu.tr:11376/7112019-11-04T17:21:49Zcom_11376_129com_11376_101com_11376_3388com_11376_3389col_11376_707col_11376_3390
Koç, Cemal
Esin, Songül
2014-12-02T08:02:50Z
2014-12-02T08:02:50Z
2002
KOÇ.C., ESİN, S. (2002). Annihilators of principal ideals in the Grassmann algebra. Applications of Geometric Algebra in Computer Science and Engineering. Edited by, L. DORST, C. DORAN, J. LLASENBY. Cambridge, Birkhauser. Volume 3, pp.193-194.
0-8176-4267-6
000175850700018 (WOS)
https://hdl.handle.net/11376/711
3
193
194
It is well known that every Frobenius algebra is quasi-Frobenius, that is to say, if a finite dimensional algebra A over a field F has a nondegenerate bilinear form B such that B(xy, z) = B(x, yz) for all x, y, z ∊ A, then the maps L → Ann r (L) and R → Ann l (R) give inclusion preserving bijections between lattices of left and right ideals of A satisfying (a) Ann r (L 1 + L 2) = Ann r (L 1) ⋂ Ann r (L 2), Ann r (L 1 ⋂ L 2) = Ann r (L 1) + Ann r (L 2) (b) Ann l (R 1 + R 2) = Ann l (R 1) ⋂ Ann l (R 2), Ann l (R 1 ⋂ R 2) = Ann l (R 1) + Ann l (R 2) (c) Ann l(Ann r (L)) = LandAnn r (Ann l (R)) = R. (For example see [2].)
eng
info:eu-repo/semantics/closedAccess
Grassmann Algebra
Annihilators of principal ideals in the Grassmann algebra
conferenceObject
oai:openaccess.dogus.edu.tr:11376/26932020-09-22T18:32:20Zcom_11376_129com_11376_101com_11376_3388com_11376_3389col_11376_707col_11376_3391col_11376_3392col_11376_3390
Veliev, Oktay A.
2016-11-15T14:14:50Z
2016-11-15T14:14:50Z
2009
Veliev, O. A. (2009). On the basis property of the root functions of differential operators with matrix coefficients. In International conference Spectral Problems and Related Topics (pp. 1-16). Moscow: Moscow State University.
https://hdl.handle.net/11376/2693
1
16
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.
eng
info:eu-repo/semantics/openAccess
Root Functions
Differential Operators
Matrix Coefficients
On the basis property of the root functions of differential operators with matrix coefficients
conferenceObject