Erratum to “Inverse nodal problem for differential operator with eigenvalue in the boundary condition” [Appl. Math. Lett. 21 (2008) 1301–1305]

Erratum to "Lacunary statistical convergence of multiple sequences" [Appl. Math. Lett. 19(2006) 527-534]

(1) On page 529: The statement “we will denote the set of all double lacunary sequences by Nθr,s ” should be removed. (2) On page 529: In Definition 2.4, the statement “for every ε > 0” should be removed. (3) On page 530: In the proof of (C), for all K should be replaced with for all k and l. (4) The references “Li, J. Lacunary statistical convergence and inclusion properties between lacunary m...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

Inverse nodal problem for p-Laplacian with two potential functions

In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of i...

Inverse problem for a singular differential operator

In this paper, we give the solution of the inverse Sturm–Liouville problem on two partially coinciding spectra. In particular, in this case we obtain Hochstadt's theorem concerning the structure of the difference q(x) − ˜ q(x) for the singular Sturm Liouville problem defined on the finite interval (0, π) having the singularity type 1 4 sin 2 x at the points 0 and π.

On an Inverse Eigenvalue Problem for a Semilinear Sturmäliouville Operator