JAEM 2015, Vol 5, No 1JAEM 2015, Vol 5, No 1 koleksiyonunu içerir.http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/23962026-04-09T02:45:52Z2026-04-09T02:45:52ZAsymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)Hasanoğlu, ElmanNegin, Masoudhttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/60482024-07-18T11:12:36Z2015-01-01T00:00:00ZAsymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)
Hasanoğlu, Elman; Negin, Masoud
The dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves in initially stressed bodies for small deformations is used and the well-known WKB high-frequency asymptotic technique is applied for the theoretical derivations. Numerical results on the action of the influence of the initial stresses on the wave propagation velocity for a geophysical example are presented and discussed.
2015-01-01T00:00:00ZStudy of the first boundary value problem for a fourth order parabolic equation in a nonregular domain ofKheloufi, Arezkihttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/25572024-05-07T21:35:58Z2015-01-01T00:00:00ZStudy of the first boundary value problem for a fourth order parabolic equation in a nonregular domain of
Kheloufi, Arezki
This paper is concerned with the extension of solvability results obtained for a fourth order parabolic equation, set in a nonregular domain of R3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > 1. More precisely, we determine optimal conditions on the shape of the boundary of a (N + 1)-dimensional domain, N > 1, under which the solution is regular.
2015-01-01T00:00:00ZShadow of operators on framesChugh, RenuSingh, MukeshVashisht, Lalit Kumarhttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/25562024-05-07T21:35:58Z2015-01-01T00:00:00ZShadow of operators on frames
Chugh, Renu; Singh, Mukesh; Vashisht, Lalit Kumar
Aldroubi introduced two methods for generating frames of a Hilbert space H. In one of his method, one approach is to construct frames for H which are images of a given frame for H under T ? B (H, H), a collection of all bounded linear operator on H. The other method uses bounded linear operator on ` 2 to generate frames of H. In this paper, we discuss construction of the retro Banach frames in Hilbert spaces which are images of given frames under bounded linear operators on Hilbert spaces. It is proved that the compact operators generated by a certain type of a retro Banach frame can construct a retro Banach frame for the underlying space. Finally, we discuss a linear block associated with a Schauder frame in Banach spaces.
2015-01-01T00:00:00ZModified differential transform method for singular lane-emden equations in integer and fractional orderMarasi, HamidrezaSharif, NegarPiri, Hosseinhttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/25552024-05-07T21:35:58Z2015-01-01T00:00:00ZModified differential transform method for singular lane-emden equations in integer and fractional order
Marasi, Hamidreza; Sharif, Negar; Piri, Hossein
In the present work the modified differential transform method, incorporating the Adomian polynomials into the differential transform method(DTM), is used to solve the nonlinear and singular Lane-Emden equations in integer and fractional order. Numerical examples with different types are solved. The results show that this method is very effective and simple.
2015-01-01T00:00:00Z