Voir la notice de l'article provenant de la source Math-Net.Ru
@article{VSGTU_2004_30_a8, author = {Yu. \`E. Senitskii and A. Yu. Senitskiy}, title = {On a problem of eigen vector functions expansion in non-stationary initial-boundary problems of shell of revolution dynamics}, journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences}, pages = {83--91}, publisher = {mathdoc}, number = {30}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/VSGTU_2004_30_a8/} }
TY - JOUR AU - Yu. È. Senitskii AU - A. Yu. Senitskiy TI - On a problem of eigen vector functions expansion in non-stationary initial-boundary problems of shell of revolution dynamics JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 2004 SP - 83 EP - 91 IS - 30 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGTU_2004_30_a8/ LA - ru ID - VSGTU_2004_30_a8 ER -
%0 Journal Article %A Yu. È. Senitskii %A A. Yu. Senitskiy %T On a problem of eigen vector functions expansion in non-stationary initial-boundary problems of shell of revolution dynamics %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 2004 %P 83-91 %N 30 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGTU_2004_30_a8/ %G ru %F VSGTU_2004_30_a8
Yu. È. Senitskii; A. Yu. Senitskiy. On a problem of eigen vector functions expansion in non-stationary initial-boundary problems of shell of revolution dynamics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 30 (2004), pp. 83-91. http://geodesic.mathdoc.fr/item/VSGTU_2004_30_a8/
[1] Ulitko A. F., Metod sobstvennykh vektornykh funktsii v prostranstvennykh zadachakh teorii uprugosti, Naukova dumka, Kiev, 1979 | MR | Zbl
[2] Senitskii Yu. E., Issledovanie uprugogo deformirovaniya elementov konstruktsii pri dinamicheskikh vozdeistviyakh metodom konechnykh integralnykh preobrazovanii, Izdatelstvo SGU, Saratov, 1985
[3] Martynenko N. A., Pustylnikov L. M., Konechnye integralnye preobrazovaniya i ikh primenenie k issledovaniyu sistem s raspredelennymi parametrami, Nauka, M., 1986 | MR
[4] Senitskii Yu. E., “Mnogokomponentnoe obobschennoe konechnoe integralnoe preobrazovanie i ego prilozhenie k nestatsionarnym zadacham mekhaniki”, Izvestiya vysshikh uchebnykh zavedenii. Matematika, 1991, no. 4, 57–63 | MR
[5] Senitskii Yu. E., “Obobschennye biortogonalnye konechnye integralnye preobrazovaniya i ikh prilozhenie k nestatsionarnym zadacham mekhaniki”, Doklady RAN, 341:4 (1995), 474–477 | MR
[6] Senitskii Yu. E., “Skhodimost i edinstvennost predstavlenii, opredelyaemykh formuloi obrascheniya mnogokomponentnogo obobschennogo konechnogo integralnogo preobrazovaniya”, Izvestiya vysshikh uchebnykh zavedenii. Matematika, 1991, no. 9, 53–56 | MR
[7] Naimark M. A., Lineinye differentsialnye operatory, GITTL, M., 1954
[8] Goldenveizer A. L., Teoriya uprugikh tonkikh obolochek, Nauka, M., 1976 | MR
[9] Senitskii Yu. E., Elenitskii E. Ya., “O fizicheski neprotivorechivoi modeli utochnennoi teorii plastin i obolochek”, Doklady RAN, 331:5 (1993), 580–582
[10] Grigolyuk E. I., Selezov I. T., Neklassicheskie teorii kolebanii sterzhnei plastin i obolochek, Mekhanika deformiruemykh tverdykh tel, 5, VINITI, M., 1973 | Zbl
[11] Senitskii Yu. E., “O nekotorykh tozhdestvakh, ispolzuemykh pri reshenii kraevykh zadach metodom konechnykh integralnykh preobrazovanii”, Differentsialnye uravneniya, 19:9 (1983), 1636–1638 | MR
[12] Kolesnikov S. V., “Utochnennaya teoriya kolebanii mnogosloinoi ortotropnoi plastiny”, PMM, 57:5 (1993), 160–165 | MR | Zbl