On the canonical solution of indefinite problem with m turning points of even order

HR Marasi, AJ Akbarfam - Journal of mathematical analysis and …, 2007 - Elsevier
We consider the differential equation on a finite interval I, say I=[0, 1], where I contains m
turning points, that is here, zeros of ϕ, under the assumption that one of the turning points is …

[PDF][PDF] Inverse problem for differential systems having a singularity and turning point of even or odd order

S Mosazadeh - Hacettepe Journal of Mathematics and Statistics, 2023 - dergipark.org.tr
In this paper‎,‎ the canonical property of the solutions and the inverse problem for a system of
differential equations having a singularity and turning point of even or odd order are …

Infinite product representation of solutions of indefinite problem with a finite number of arbitrary turning points

H Marasi, A Soltani… - Mathematical …, 2023 - hrcak.srce.hr
Infinite product representation of solutions of indefinite problem with a finite number of
arbitrary turning points 1. Introduct Page 1 MATHEMATICAL COMMUNICATIONS 49 Math …

Asymptotic form and infinite product representation of solution of a second order initial value problem with a complex parameter and a finite number of turning points

HR Marasi - Journal of Contemporary Mathematical Analysis, 2011 - Springer
The paper studies the differential equation* y''+(ρ^2φ^2(x)-q(x))y=0 on the interval I= 0, 1,
containing a finite number of zeros 0< x 1< x 2<...< xm< 1 of ϕ 2, ie so-called turning points …

[PDF][PDF] On the Infinite Product Representation of Solution and Dual Equation of Sturm-Liouville Equation with Turning Point of Order 4m+ 1

H Kheiri, A Jodayree Akbarfam - Bulletin of the Iranian …, 2011 - bims.iranjournals.ir
¼¼+ q (x) y= λR2 (x) y, x G [0, 1](1) y (0)= 0= y (1)(2) where λ= p2 is the spectral parameter
and the functions q (x) and R2 (x) satisfy:(i) R2 (x)= R0 (x)(x-x1) l is real and has one zero x1 …

On the uniqueness of the solution of dual equation of a singular Sturm–Liouville problem

S Mosazadeh, A Neamaty - Proceedings-Mathematical Sciences, 2011 - Springer
In this paper we consider differential systems having a singularity and one turning point.
First, by a replacement, we transform the system to a linear second-order equation of Sturm …

[PDF][PDF] A uniqueness theorem for the inverse BVP with the jump condition and turning point

AA Neamaty, Y Khalili - Scientific Bulletin, 2015 - scientificbulletin.upb.ro
In this paper, we study a second-order differential equation on the halfline having a turning
point and jump condition. We establish properties of the spectrum, obtain the formulation of …

Use of the Sturm-Liouville problems in the seismic response of earth dams and embankments

AA Neamaty, Y Khalili - Caspian Journal of Mathematical …, 2015 - cjms.journals.umz.ac.ir
Use of the Sturm-Liouville problems in the seismic response of earth dams and
embankments Page 1 Caspian Journal of Mathematical Sciences (CJMS) University of …

Power series with radius of convergence zero—Overconvergence, elongations, summability

W Luh, A Stepanyan - Journal of Contemporary Mathematical Analysis, 2011 - Springer
We deal with overconvergence phenomena of power series with radius of convergence
zero. Among others it is shown that the partial sums of such a series can be elongated to …

The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points

S Mosazadeh - Sahand Communications in Mathematical …, 2019 - scma.maragheh.ac.ir
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite
number of singularities and turning points in a finite interval are investigated. First, we obtain …