M. S. Agranovich and M. I. Vishik, “Elliptic problems with a parameter and parabolic problems of general type,” Usp. Mat. Nauk, 19, No. 3, 53–161 (1964).
MATH
Google Scholar
E. I. Galakhov and A. L. Skubachevsky, “A nonlocal spectral problem,” Differ. Uravn., 33, No. 1, 25–32 (1997).
MathSciNet
Google Scholar
V. A. Il’in, “Necessary and sufficient conditions of the Riesz basis property of root vectors of discontinuous second-order operators,” Differ. Uravn., 22, No. 12, 2059–2071 (1986).
Google Scholar
V. A. Il’in and E. I. Moiseev, “An a priori estimate of solutions of the problem conjugate to a nonlocal boundary-value problem of the first kind,” Differ. Uravn., 24, No. 5, 795–804 (1988).
MATH
Google Scholar
T. Kato, Theory of Perturbations of Linear Operators [Russian translation], Mir, Moscow (1972).
Google Scholar
S. G. Krein, Linear Equations in Banach Space [in Russian], Nauka, Moscow (1971).
Google Scholar
V. V. Podyampol’skii, “Abel summability of a system of root functions of a nonlocal problem with integral conditions,” Mat. Zametki, 65, No. 5, 797–800 (1999).
Google Scholar
Yu. G. Sentsov, “On the Riesz basis property of a system of eigenfunctions and associated functions of a differential operator with integral conditions,” Mat. Zametki, 65, No. 6, 948–952 (1999).
MathSciNet
Google Scholar
Yu. T. Silchenko, “Eigenvalues and eigenfunctions of a differential operator with nonlocal boundary conditions,” Differ. Uravn., 42, No. 6, 764–768 (2006).
MathSciNet
Google Scholar
A. L. Skubachevsky and G. M. Steblov, “On the spectrum of a differential operator with nondense domain in L
2(0, 1),” Dokl. Ross. Akad. Nauk, 321, No. 6, 1158–1163 (1992).
Google Scholar
A. L. Skubachevsky, “Nonclassical boundary value problems. I,” Sovrem. Mat. Fund. Napr., 26, 3–132 (2007).
Google Scholar
Ya. D. Tamarkin, On Some General Problems in the Theory of Linear Ordinary Differential Equations and Series Expansions of Arbitrary Functions [in Russian], Petrograd (1917).
A. A. Shkalikov, “On the basis property of eigenfunctions of ordinary differential operators with integral boundary conditions,” Vestn. Mosk. Univ. Ser. 1 Mat. Mekh., No. 6, 12–21 (1982).
A. M. Krall, “The development of general differential and general boundary systems,” Rocky Mountain J. Math., 5, No. 4, 493–542 (1975).
MathSciNet
MATH
Article
Google Scholar
M. Picone, “I teoremi d’esistenza per gl’integrale di una equazione differenziale lineare ordinaria soddisfacenti ad una nuova classe di condizioni,” Rend. Accad. Lincei, 17, 340–347 (1908).
Google Scholar
M. Picone, “Equazione integrale traducente il piu generale problema lineare per le equation differentiali lineari ordinarie di qualsivoglia ordine,” Accad. Naz. Lincei Atti Convegni. Roma, 15, No. 6, 942–948 (1932).
MATH
Google Scholar
A Sommerfeld, “Ein Beitrag zur hydrodynamischen Erklärung der turbulenten Flussigkeitsbewegungen,” Atti IV Congr. Intern. Matem. Rome, 3, 116–124 (1909).
Google Scholar