Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Erdoğan Şen"'
Autor:
Artūras Štikonas, Erdoğan Şen
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 2 (2023)
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition. We analyze the chara
Externí odkaz:
https://doaj.org/article/30e77e89585c4981a9cf0b56f053c385
Autor:
Artūras Štikonas, Erdoğan Şen
Publikováno v:
Nonlinear Analysis, Vol 26, Iss 5 (2021)
In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition. We investigate solut
Externí odkaz:
https://doaj.org/article/c3d4ac8af838426a9b7459a0659e727d
Autor:
Erdoğan Şen, Artūras Štikonas
Publikováno v:
Mathematical Modelling and Analysis, Vol 26, Iss 2 (2021)
In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Externí odkaz:
https://doaj.org/article/45fa76f2767e4d788a4b71824c54566f
Autor:
Erdoğan Şen
Publikováno v:
Ain Shams Engineering Journal, Vol 4, Iss 3, Pp 531-537 (2013)
In this work, we study a fourth-order boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the ei
Externí odkaz:
https://doaj.org/article/a8c227f263424937947816d784c3fb13
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2014 (2014)
We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation.
Externí odkaz:
https://doaj.org/article/1cd53cde984f4c278100d9ace42f6409
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the first work containing two di
Externí odkaz:
https://doaj.org/article/b9a922dc5ecd4989a611956f814c55d4
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We consider the following boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator D0+β(ϕp(D0+αu(t)))+a(t)f(u)=0, 01, ϕp-1=ϕq, 1/p+1/q=1,0⩽γ0 are parameters, a:(0,1)→[0,+∞), and f:[0,+∞)→[0,+∞)
Externí odkaz:
https://doaj.org/article/bfe5272374b3499fafa02506afde6837
Autor:
Artūras Štikonas, Erdoğan Şen
Publikováno v:
Lithuanian Mathematical Journal. 62:519-541
Autor:
Erdoğan Şen, Artūras Štikonas
Publikováno v:
Complex Variables and Elliptic Equations. 67:1662-1676
In this study, we proved the simplicity of eigenvalues and obtained asymptotic formulas for eigenvalues and eigenfunctions of second order non-local boundary-value problems with retarded argument.
Autor:
Erdoğan Şen
Publikováno v:
TURKISH JOURNAL OF MATHEMATICS. 45:305-318
In this study, we investigate the regularized sums of eigenvalues, oscillation of eigenfunctions and solutions of inverse nodal problems of discontinuous Sturm–Liouville operators with a delayed argument and with a finite number of transmission con