Gadyl’shin, R. R.; Piatnitskii, A. L.; Chechkin, G. A. On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. (English. Russian original) Zbl 1406.35032 Izv. Math. 82, No. 6, 1108-1135 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 37-64 (2018). MSC: 35B27 35C20 35J05 35J25 35P15 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., Izv. Math. 82, No. 6, 1108--1135 (2018; Zbl 1406.35032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 37--64 (2018) Full Text: DOI
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A. On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary. (English. Russian original) Zbl 1206.35031 Differ. Equ. 46, No. 5, 667-680 (2010); translation from Differ. Uravn. 46, No. 5, 665-677 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35P05 35J25 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., Differ. Equ. 46, No. 5, 667--680 (2010; Zbl 1206.35031); translation from Differ. Uravn. 46, No. 5, 665--677 (2010) Full Text: DOI
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Spectral boundary homogenization in domains with oscillating boundaries. (English) Zbl 1204.35035 Nonlinear Anal., Real World Appl. 11, No. 6, 4492-4499 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35P05 35J05 35J25 PDFBibTeX XMLCite \textit{Y. Amirat} et al., Nonlinear Anal., Real World Appl. 11, No. 6, 4492--4499 (2010; Zbl 1204.35035) Full Text: DOI
Gadyl’shin, R. R. On analogues of the Helmholtz resonator in averaging theory. (English. Russian original) Zbl 1085.35023 Sb. Math. 193, No. 11, 1611-1638 (2002); translation from Mat. Sb. 193, No. 11, 43-70 (2002). Reviewer: Marco Biroli (Milano) MSC: 35B27 35J05 35C20 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin}, Sb. Math. 193, No. 11, 1611--1638 (2002; Zbl 1085.35023); translation from Mat. Sb. 193, No. 11, 43--70 (2002) Full Text: DOI
Gadyl’shin, R. R. On a model analogue of the Helmholtz resonator in homogenization. (English. Russian original) Zbl 1022.35003 Proc. Steklov Inst. Math. 236, 70-77 (2002); translation from Tr. Mat. Inst. Steklova 236, 79-86 (2002). Reviewer: Alexander A.Kovalevsky (Donetsk) MSC: 35B27 35J05 35J25 35B34 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin}, in: Differential equations and dynamical systems. Collected papers dedicated to the 80th birthday of Academician Evgenii Frolovich Mishchenko. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. 70--77 (2002; Zbl 1022.35003); translation from Tr. Mat. Inst. Steklova 236, 79--86 (2002)
Gadyl’shin, R. R. On the eigenvalue asymptotics for periodically clamped membranes. (English. Russian original) Zbl 0907.35094 St. Petersbg. Math. J. 10, No. 1, 1-14 (1999); translation from Algebra Anal. 10, No. 1, 3-19 (1998). Reviewer: O.Titow (Berlin) MSC: 35P20 35B27 35J05 35B20 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin}, St. Petersbg. Math. J. 10, No. 1, 3--19 (1998; Zbl 0907.35094); translation from Algebra Anal. 10, No. 1, 3--19 (1998)