Problem with Integral Conditions for Differential-Operator Equation
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| 003 | CHVBK | ||
| 005 | 20210128100758.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150701xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2444-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2444-z | ||
| 245 | 0 | 0 | |a Problem with Integral Conditions for Differential-Operator Equation |h [Elektronische Daten] |c [P. Kalenyuk, G. Kuduk, I. Kohut, Z. Nytrebych] |
| 520 | 3 | |a We propose a method for the solution of the problem with inhomogeneous integral conditions for homogeneousdifferential-operator equations with abstract operator in a linear space H . For the righthand sides of the integral conditions from a special subspace L ⊆ H in which the vectors are represented in the form of Stieltjes integrals with respect to certain measures, the solution of the problem is represented in the form of Stieltjes integrals with respect to the same measures. We give an example of application of the method to the solution of the ill-posed problem for the second-order partial differential equation in the time variable (in which the integral conditions are given) and, in general, an infiniteorder partial differential equation in the space variable. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Kalenyuk |D P. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Kuduk |D G. |u University of Rzeszów, Rzeszów, Poland |4 aut | |
| 700 | 1 | |a Kohut |D I. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Nytrebych |D Z. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/3(2015-07-01), 267-276 |x 1072-3374 |q 208:3<267 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2444-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2444-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kalenyuk |D P. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kuduk |D G. |u University of Rzeszów, Rzeszów, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kohut |D I. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nytrebych |D Z. |u Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/3(2015-07-01), 267-276 |x 1072-3374 |q 208:3<267 |1 2015 |2 208 |o 10958 | ||