caa a22 4500 605525323 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2444-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2444-z Problem with Integral Conditions for Differential-Operator Equation [Elektronische Daten] [P. Kalenyuk, G. Kuduk, I. Kohut, Z. Nytrebych] 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. Springer Science+Business Media New York, 2015 Kalenyuk P. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut Kuduk G. University of Rzeszów, Rzeszów, Poland aut Kohut I. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut Nytrebych Z. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 267-276 1072-3374 208:3<267 2015 208 10958 https://doi.org/10.1007/s10958-015-2444-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2444-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kalenyuk P. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut NATIONALLICENCE 700 1- Kuduk G. University of Rzeszów, Rzeszów, Poland aut NATIONALLICENCE 700 1- Kohut I. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut NATIONALLICENCE 700 1- Nytrebych Z. Institute of Applied Mathematics and Fundamental Sciences, "L'vivs'ka Politekhnika” National University, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 267-276 1072-3374 208:3<267 2015 208 10958