Determination Two Regular Sturm-Liouville Operators from Two Spectra

The text is organized as follows. We begin with the summary of the article "Determination of a linear differential equation on half-line and its spectral distribution function from the others related". The first part, a simplified description is made of the antecedents. The second part, it is shown a brief and simplified state of art of the inverse problems corresponding to the inverse scattering is offered both in the one-dimensional case and the multidimensional case. The third part: On the determination of the linear differential of the second order on half-line and its spectral distribution function. Where we offer a simplified version of the background used and the fundamental of existence and uniqueness of the second problem in relation to the first Sturm-Liouville problem. The fourth part: two fundamental examples related in the previous sense are exhibited. The importance of The Estimates L -L for the Equation of Schröndinger on the Half-Line is mentioned. In Open Problems, the possibility of obtaining a generalization of the previous estimates is mentioned. Finally, a simplified list of the references used for this text is offered.

Autorentext

HERMINIO BLANCARTE SUAREZ, Mexican, 11/19/1958. Mathematician (UNAM), Master of Science (Mathematics) (UNAM), Doctor of Science (Mathematics) (UNAM). Ascription: Faculty of Engineering, Autonomous University of Querétaro, Santiago de Querétaro, Qro. Mexico. Editor of the Eureka magazine.

Klappentext

The text is organized as follows. We begin with the summary of the article "Determination of a linear differential equation on half-line and its spectral distribution function from the others related". The first part, a simplified description is made of the antecedents. The second part, it is shown a brief and simplified state of art of the inverse problems corresponding to the inverse scattering is offered both in the one-dimensional case and the multidimensional case. The third part: On the determination of the linear differential of the second order on half-line and its spectral distribution function. Where we offer a simplified version of the background used and the fundamental of existence and uniqueness of the second problem in relation to the first Sturm-Liouville problem. The fourth part: two fundamental examples related in the previous sense are exhibited. The importance of The Estimates L -L for the Equation of Schröndinger on the Half-Line is mentioned. In Open Problems, the possibility of obtaining a generalization of the previous estimates is mentioned. Finally, a simplified list of the references used for this text is offered.