Арлен Михайлович Ильин

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All published works

Action	Title	Year	Authors
+	Performance of the Ritz Method in the Problem of Spheroidal Oscillations for Layered Earth Model: 2	2013	Е. Н. Бессонова E. L. Reznikov Арлен Михайлович Ильин
+	The asymptotics of a solution of a parabolic equation as time increases without bound	2012	Denis Olegovich Degtyarev Арлен Михайлович Ильин
+	Structure of boundary layers in singular problems	2012	Арлен Михайлович Ильин O. Yu. Khachai
+	On the solvability of a boundary-value problem for an elliptic equation	2012	Арлен Михайлович Ильин S. V. Rep’evskii
+	Nonlinear diffusion equation and Liesegang rings	2011	Арлен Михайлович Ильин B. A. Markov
+ PDF Chat	On asymptotic approximations of solutions of an equation with a small parameter	2011	Арлен Михайлович Ильин E. F. Lelikova
+	Asymptotics of two-dimensional integrals depending singularly on a small parameter	2010	Арлен Михайлович Ильин А. А. Ершов
+	The asymptotic behaviour of the solution to a system of differential equations with a small parameter and singular initial point	2010	Арлен Михайлович Ильин Yurii Alekseevich Leonychev Oleg Khachay
+ PDF Chat	On the spectrum of the Neumann problem for Laplace equation in a domain with a narrow slit	2010	R. R. Gadyl’shin Арлен Михайлович Ильин
+	Singular initial value problem for a system of ordinary differential equations with a small parameter	2008	Арлен Михайлович Ильин O. Yu. Khachai
+	Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe. II. Large values of the parameter<i>t</i>	2007	Арлен Михайлович Ильин B. I. Suleǐmanov
+	Asymptotics of the solution to a differential equation with a small parameter in the case of two limit solutions	2006	Арлен Михайлович Ильин S. F. Dolbeeva
+	Asymptotic behavior of the solution to a differential equation with a small parameter when the stability lines of the limit solution intersect	2006	S. F. Dolbeeva Арлен Михайлович Ильин
+	Stanislav Ivanovich Pokhozhaev (on his 70th birthday)	2006	О. В. Бесов Арлен Михайлович Ильин В. А. Ильин L. D. Kudryavtsev Sergei M Nikol'skii L. V. Ovsyannikov Enzo Mitidieri Alberto Tesei Лаурент Верон
+	Asymptotic behaviour of a special solution of Abel's equation relating to a cusp catastrophe	2006	Арлен Михайлович Ильин B. I. Suleǐmanov
+ PDF Chat	Станислав Иванович Похожаев (к 70-летию со дня рождения)	2006	О. В. Бесов О. В. Бесов Арлен Михайлович Ильин Арлен Михайлович Ильин В. А. Ильин В. А. Ильин Лев Дмитриевич Кудрявцев L. D. Kudryavtsev Sergei M Nikol'skii Sergei M Nikol'skii
+	Stanislav Ivanovich Pokhozhaev (A Tribute in Honor of His Seventieth Birthday)	2005	О. В. Бесов Арлен Михайлович Ильин В. А. Ильин L. D. Kudryavtsev Enzo Mitidieri Sergei M Nikol'skii L. V. Ovsyannikov Alberto Tesei Лаурент Верон
+	Application of the concordance method of asymptotic expansions to solving boundary-value problems	2005	Арлен Михайлович Ильин А. Р. Данилин С. В. Захаров
+	Application of the concordance method of asymptotic expansions to solving boundary-value problems	2005	Арлен Михайлович Ильин А. Р. Данилин С. В. Захаров
+	Birth of step-like contrast structures connected with a cusp catastrophe	2004	Арлен Михайлович Ильин B. I. Suleǐmanov
+	Asymptotic Properties of Solutions of Parabolic Equations Arising from Transient Diffusions	2002	Арлен Михайлович Ильин R. Z. Khas’minskiĭ George Yin
+	On the spectrum of the Neumann problem for Laplace equation in a domain with a narrow slit	2002	R. R. Gadyl’shin Арлен Михайлович Ильин
+	From weak discontinuity to gradient catastrophe	2001	С. В. Захаров Арлен Михайлович Ильин
+	Asymptotic Expansions of Solutions of Integro- Differential Equations for Transition Densities of Singularly Perturbed Switching Diffusions: Rapid Switchings	1999	Арлен Михайлович Ильин R. Z. Khas’minskiĭ George Yin
+	Singularly Perturbed Switching Diffusions: Rapid Switchings and Fast Diffusions	1999	Арлен Михайлович Ильин R. Z. Khas’minskiĭ George Yin
+	On the two-scale method for the problem of perturbed one-frequency oscillations	1999	Арлен Михайлович Ильин
+	Asymptotic behaviour of the eigenvalues of the Dirichlet problem in a domain with a narrow slit	1998	R. R. Gadyl’shin Арлен Михайлович Ильин
+	Asymptotic behavior of the solution of the optimal-time control problem under perturbed initial data	1996	А. Р. Данилин Арлен Михайлович Ильин
+	D	1995	A. G. El’kin M. G. M. van Doorn Анатолий Константинович Гущин L. D. Kudryavtsev V. Rumyantsev V. I. Sobolev Б. А. Ефимов Н. Х. Розов V. T. Bazylev I. A. Kvasnikov
+	Matching of Asymptotic Expansions of Solutions of Boundary Value Problems	1992	Арлен Михайлович Ильин
+	Matching of Asymptotic Expansions of Solutions of Boundary Value Problems	1992	Арлен Михайлович Ильин
+	Ordinary differential equations	1992	Арлен Михайлович Ильин
+	Matching of asymptotic expansions of solutions of boundary value problems	1992	Арлен Михайлович Ильин Viktor Minachin
+	The Bisingular Problems	1992	Арлен Михайлович Ильин
+	ON THE ASYMPTOTICS OF THE SOLUTION OF A PROBLEM WITH A SMALL PARAMETER	1990	Арлен Михайлович Ильин
+	Investigation of the asymptotic behavior of the solution of an elliptic boundary-value problem in a domain with a small hole	1986	Арлен Михайлович Ильин
+	ASYMPTOTICS OF THE SOLUTIONS OF SOME HIGHER ORDER ELLIPTIC EQUATIONS IN CONICAL DOMAINS	1986	Арлен Михайлович Ильин E. F. Lelikova
+	A sufficient condition for stabilization of solution of the parabolic equation	1985	Арлен Михайлович Ильин
+	THE ASYMPTOTICS OF THE GREEN FUNCTION FOR A SECOND-ORDER ELLIPTIC EQUATION NEAR THE BOUNDARY OF THE DOMAIN	1984	Арлен Михайлович Ильин B. I. Suleǐmanov
+	ASYMPTOTICS OF SOLUTIONS OF SOME ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS	1984	Арлен Михайлович Ильин E. F. Lelikova
+	ASYMPTOTICS OF THE SOLUTION OF A BOUNDARY VALUE PROBLEM FOR POISSON'S EQUATION IN THE EXTERIOR OF A CYLINDER AND A HALF-CYLINDER	1983	Арлен Михайлович Ильин
+	Shock-wave structure in the presence of low viscosity	1981	Арлен Михайлович Ильин
+	A BOUNDARY VALUE PROBLEM FOR THE SECOND ORDER ELLIPTIC EQUATION IN A DOMAIN WITH A NARROW SLIT. 2. DOMAIN WITH A SMALL CAVITY	1977	Арлен Михайлович Ильин
+	A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE	1976	Арлен Михайлович Ильин
+	A METHOD OF JOINING ASYMPTOTIC EXPANSIONS FOR THE EQUATION $ \epsilon\Delta u-a(x,\,y)u_y=f(x,\,y)$ IN A RECTANGLE	1975	Арлен Михайлович Ильин E. F. Lelikova
+	Method of matching of asymptotic expansions	1975	Арлен Михайлович Ильин Yu. P. Gor'kov E. F. Lelikova
+	ON THE BEHAVIOR OF THE SOLUTION OF A BOUNDARY VALUE PROBLEM WHEN $ t \to \infty$	1972	Арлен Михайлович Ильин
+	Asymptotic properties of a solution of a boundary-value problem	1970	Арлен Михайлович Ильин
+	Differencing scheme for a differential equation with a small parameter affecting the highest derivative	1969	Арлен Михайлович Ильин
+	Number of arithmetical operations necessary for the approximate solution of Fredholm integral equations of the second kind	1967	Konstantin Vladimirovich Emel'yanov Арлен Михайлович Ильин
+	On parabolic equations whose coefficients do not satisfy the Dini condition	1967	Арлен Михайлович Ильин
+	LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE	1962	Арлен Михайлович Ильин A. S. Kalashnikov O A Oleĭnik

Common Coauthors

Coauthor	Papers Together
E. F. Lelikova	5
B. I. Suleǐmanov	4
L. D. Kudryavtsev	4
Лаурент Верон	3
Alberto Tesei	3
R. Z. Khas’minskiĭ	3
С. В. Захаров	3
Enzo Mitidieri	3
В. А. Ильин	3
О. В. Бесов	3
L. V. Ovsyannikov	3
George Yin	3
Sergei M Nikol'skii	3
R. R. Gadyl’shin	3
А. Р. Данилин	3
O. Yu. Khachai	2
S. F. Dolbeeva	2
A V Bitsadze	1
L. A. Bokut	1
Viktor Minachin	1
Н. К. Никольский	1
V. I. Sobolev	1
Н. Х. Розов	1
A. A. Kirillov	1
V. N. Grishin	1
В. Д. Белоусов	1
V. A. Chuyanov	1
G. P. Tolstov	1
A. I. Shtern	1
M. V. Fedoryuk	1
V. D. Kupradze	1
A. L. Shmel’kin	1
V. A. Morozov	1
L. P. Kuptsov	1
Т. П. Лукашенко	1
L. A. Skornyakov	1
B. L. Rozhdestvenskiĭ	1
T. S. Fofanova	1
Е. И. Моисеев	1
E. D. Solomentsev	1
А. А. Ершов	1
А. В. Хохлов	1
E. F. Mishchenko	1
Α. I. Kostrikin	1
Denis Olegovich Degtyarev	1
Rédigé Par C. Mayer	1
O. G. Smolyanov	1
Boris A. Pasynkov	1
А.Б. Бакушинский	1
A. Zabrodin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Matching of asymptotic expansions of solutions of boundary value problems	1992	Арлен Михайлович Ильин Viktor Minachin	9
+	MATCHING OF ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS	1994	F. G. Leppington	7
+	Matching of Asymptotic Expansions of Solutions of Boundary Value Problems	1992	Арлен Михайлович Ильин	5
+	Boundary problems for elliptic equations in domains with conical or angular points	1967	В А Кондратьев	5
+	Asymptotic Methods in the Theory of Nonlinear Oscillations	1961	N. N. Bogolyubov Yu. A. Mitropol’skii	4
+ PDF Chat	On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain	1998	Vesa Mustonen Stanislav I. Pohožaev	3
+ PDF Chat	Perturbation Methods in Applied Mathematics	1973	Julian D. Cole Lawrence E. Levine	3
+ PDF Chat	On similarity solutions and blow-up spectra for a semilinear wave equation	2003	Victor A. Galaktionov Stanislav I. Pohožaev	3
+	Existence and Nonexistence of Solutions of Nonlinear Dirichlet Problems with First Order Terms	2000	Luisa Moschini Stanislav I. Pohožaev Alberto Tesei	3
+ PDF Chat	On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range	2002	Yu. V. Egorov Victor A. Galaktionov V. А. Kondratiev Stanislav I. Pohožaev	3
+	Towards a Unified Approach to Nonexistence of Solutions for a Class of Differential Inequalities	2004	Enzo Mitidieri Stanislav I. Pohožaev	3
+	Existence and Nonexistence of Solutions of Nonlinear Neumann Problems	1999	Stanislav I. Pohožaev Alberto Tesei	3
+	Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $ {\Bbb R}^n $	2001	Enzo Mitidieri Stanislav I. Pohožaev	3
+	The fibering method and its applications to nonlinear boundary value problem	1999	Stanislav I. Pohožaev	3
+	Representation formulae and inequalities for solutions of a class of second order partial differential equations	2005	Lorenzo D’Ambrosio Enzo Mitidieri Stanislav I. Pohožaev	3
+ PDF Chat	Global solutions of higher-order semilinear parabolic equations in the supercritical range	2004	Yu. V. Egorov Victor A. Galaktionov V. А. Kondratiev Stanislav I. Pohožaev	3
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	3
+	Nonexistence of local solutions to semilinear partial differential inequalities	2004	Stanislav I. Pohožaev Alberto Tesei	3
+	Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators	2002	Victor A. Galaktionov Stanislav I. Pohožaev	3
+	Multiple positive solutions of some quasilinear neumann problems	2000	Stanislav I. Pohožaev Лаурент Верон	3
+	Nonexistence results and estimates for some nonlinear elliptic problems	2001	Marie‐Françoise Bidaut‐Véron Stanislav I. Pohožaev	3
+	Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group	2000	Stanislav I. Pohožaev Лаурент Верон	3
+	Blow-up and critical exponents for nonlinear hyperbolic equations	2003	Victor A. Galaktionov Stanislav I. Pohožaev	3
+ PDF Chat	Stochastic Stability of Differential Equations	2011	R. Z. Khas’minskiĭ	3
+	Blow-up results for nonlinear hyperbolic inequalities	2000	Stanislav I. Pohožaev Лаурент Верон	3
+	A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE	1976	Арлен Михайлович Ильин	3
+	Asymptotic methods in the theory of non-linear oscillations	1963	N. DeClaris	3
+	Continuity of Solutions of Parabolic and Elliptic Equations	1958	John C. Nash	2
+	The Boundary Value Problems of Mathematical Physics	1985	O. A. Ladyzhenskaya	2
+	H infintity control of large-scale jump linear systems via averaging and aggregation	1999	Zigang Pan Tamer Başar	2
+	Special Functions and their Applications	1966	Y. L. L. Nikolai Lebedev Richard A. Silverman	2
+	THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS	1960	В. А. Ильин	2
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	2
+	None	2001	S. I. Pokhozhaev Alberto Tesei	2
+	A BOUNDARY VALUE PROBLEM FOR THE SECOND ORDER ELLIPTIC EQUATION IN A DOMAIN WITH A NARROW SLIT. 2. DOMAIN WITH A SMALL CAVITY	1977	Арлен Михайлович Ильин	2
+	Instantaneous blow-up of solutions to a class of hyperbolic inequalities	2002	Stanislav I. Pohožaev Alberto Tesei	2
+ PDF Chat	Траекторные аттракторы уравнений математической физики	2011	Марко Иосифович Вишик Марко Иосифович Вишик Владимир Викторович Чепыжов В. В. Чепыжов	2
+	ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES	1985	Vladimir Maz’ya С. А. Назаров Б. А. Пламеневский	2
+	Conditions for the existence of solutions to a quasilinear inequality in half-space	2000	Виктор Александрович Галактионов Yu. V. Egorov В А Кондратьев S. I. Pokhozhaev	2
+	Entire Solutions of Semilinear Elliptic Equations	1995	I. Kuzin Stanislav I. Pohožaev	2
+	Birth of step-like contrast structures connected with a cusp catastrophe	2004	Арлен Михайлович Ильин B. I. Suleǐmanov	2
+	Asymptotic Expansions of Integrals	1975	Norman Bleistein Richard A. Handelsman	2
+	Linear and quasilinear elliptic equations	1968	O. A. Ladyzhenskai︠a︡ N. N. Uraltseva	2
+	A singular perturbation approach to modeling and control of Markov chains	1981	R. Phillips P.V. Kokotović	2
+ PDF Chat	The role of coordinate systems in boundary-layer theory	1954	Saul Kaplun	2
+	On the necessary conditions of global existence to a quasilinear inequality in the half-space	2000	Yu. V. Egorov Victor A. Galaktionov V. А. Kondratiev Stanislav I. Pohožaev	2
+	Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains	1996	R. Z. Khashinskii George Yin Q. Zhang	2
+	Asymptotic methods in the optimal control of distributed systems	1978	J. L. Lions	2
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	2
+	Non-negative solutions of linear parabolic equations	1968	D. G. Aronson	2