F. V. Atkinson

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All published works

Action	Title	Year	Authors
+	Asymptotics of the Titchmarsh—Weyl <i>m</i>-coefficient for non-integrable potentials	1999	F. V. Atkinson Charles T. Fulton
+	The Essential Spectrum of Some Matrix Operators	1994	F. V. Atkinson Heinz Langer R. Mennicken А. А. Шкаликов
+	Asymptotics of a free boundary problem	1992	F. V. Atkinson Hans G. Kaper Man Kam Kwong
+	Higher Approximations to Eigenvalues for a Nonlinear Elliptic Problem	1992	F. V. Atkinson
+	Estimates for vertical points of solutions of prescribed mean curvature type equations II	1992	F. V. Atkinson L. A. Peletier James Serrin
+	Nodal solutions of elliptic equations with critical Sobolev exponents	1990	F. V. Atkinson Haı̈m Brezis L. A. Peletier
+ PDF Chat	Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents	1990	F. V. Atkinson L. A. Peletier
+	Ground States and Dirichlet Problems for — Δu = f(u) in R2	1989	F. V. Atkinson L. A. Peletier
+	Bounds for vertical points of solutions of prescribed mean curvature type equations, I	1989	F. V. Atkinson L. A. Peletier
+ PDF Chat	Regularization of a Sturm-Liouville problem with an interior singularity using quasiderivatives	1988	F. V. Atkinson W. N. Everitt Anton Zettl
+	Ground States for the Prescribed Mean Curvature Equation: The Supercritical Case	1988	F. V. Atkinson L. A. Peletier James Serrin
+	Large solutions of elliptic equations involving critical exponents	1988	F. V. Atkinson L. A. Peletier
+	ON NONEXISTENCE OF GROUND STATES	1988	F. V. Atkinson L. A. Peletier
+ PDF Chat	On the order of magnitude of Titchmarsh-Weyl functions	1988	F. V. Atkinson
+	Asymptotic behavior of solutions of linear delay equations	1987	F. V. Atkinson Shunian Zhang
+	Elliptic equations with nearly critical growth	1987	F. V. Atkinson L. A. Peletier
+	Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems.	1987	F. V. Atkinson Angelo B. Mingarelli
+	Emden-Fowler equations involving critical exponents	1986	F. V. Atkinson L. A. Peletier
+	Ground states and Dirichlet problems for-Δu=f(u) in R2	1986	F. V. Atkinson L. A. Peletier
+ PDF Chat	On regular growth and asymptotic stability	1986	F. V. Atkinson Jack W. Macki
+	Ground states of ??u=f(u) and the Emden-Fowler equation	1986	F. V. Atkinson L. A. Peletier
+ PDF Chat	An oscillation criterion for linear second-order differential systems	1985	F. V. Atkinson Hans G. Kaper Man Kam Kwong
+	Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity, I	1984	F. V. Atkinson Charles T. Fulton
+	On bounds for Titchmarsh–Weyl <i>m</i>-coefficients and for spectral functions for second-order differential operators	1984	F. V. Atkinson
+ PDF Chat	Asymptotic formulae for eigenvalues of limit circle problems on a half line	1983	F. V. Atkinson Charles T. Fulton
+	Criteria for asymptotic constancy of solutions of functional differential equations	1983	F. V. Atkinson John R. Haddock
+	On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions	1982	F. V. Atkinson
+	Integral inequalities and exponential convergence of solutions of differential equations with bounded delay	1982	F. V. Atkinson John R. Haddock Olof J. Staffans
+	On the exponential behaviour of eigenfunctions and the essential spectrum of differential operators	1982	F. V. Atkinson W. D. Evans
+	Orthogonal Polynomials which Satisfy Second Order Differential Equations	1981	F. V. Atkinson W. N. Everitt
+	On the location of the Weyl circles	1981	F. V. Atkinson
+	Christoffel’s Work on Shock Waves	1981	F. V. Atkinson
+	A Class of Limit-Point Criteria	1981	F. V. Atkinson
+ PDF Chat	Nonoscillatory solutions of forced second order linear equations. - II	1980	F. V. Atkinson Ronald Grimmer William T. Patula
+	Exponential behaviour of eigenfunctions and gaps in the essential spectrum	1980	F. V. Atkinson
+	Bounds for the point spectrum for a Sturm-Liouville equation	1978	F. V. Atkinson W. N. Everitt
+	A stability problem with algebraic aspects	1978	F. V. Atkinson
+	The limit-point, limit-circle nature of rapidly oscillating potentials	1977	F. V. Atkinson M. S. P. Eastham J. B. McLeod
+	ASYMPTOTIC INTEGRATION AND THE L<sup>2</sup>-CLASSIFICATION OF SQUARES OF SECOND-ORDER DIFFERENTIAL OPERATORS	1976	F. V. Atkinson
+	The polynomial-normaloid property for Banach-space operators	1975	F. V. Atkinson
+	11.—Limit-<i>n</i> Criteria of Integral Type	1975	F. V. Atkinson
+	On the <i>m</i> -Coefficient of Weyl for a Differential Equation with an Indefinite Weight Function	1974	F. V. Atkinson W. N. Everitt K. S. Ong
+	Similarity solutions of the nonlinear diffusion equation	1974	F. V. Atkinson L. A. Peletier
+	10.—The Area-function for Non-linear Second-order Oscillations	1974	F. V. Atkinson
+	8.—On Second-order Differential Inequalities	1974	F. V. Atkinson
+	13.—On Some Results of Everitt and Giertz	1973	F. V. Atkinson
+	Some further estimates concerning sums of powers of complex numbers	1969	F. V. Atkinson
+ PDF Chat	Multiparameter spectral theory	1968	F. V. Atkinson
+	<i>Discrete and Continuous Boundary Problems</i>	1964	F. V. Atkinson George H. Weiss
+	On sums of powers of complex numbers	1964	F. V. Atkinson
+	MULTIVARIATE SPECTRAL THEORY. PART I: THE LINKED EIGENVALUE PROBLEM FOR MATRICES,	1964	F. V. Atkinson
+	ON SUMS OF POWERS OF COMPLEX NUMBERS; AN IMPROVED ESTIMATE,	1963	F. V. Atkinson
+	Some aspects of Baxter's functional equation	1963	F. V. Atkinson
+ PDF Chat	Boundary problems leading to orthogonal polynomials in several variables	1963	F. V. Atkinson
+ PDF Chat	The Reversibility of a Differentiable Mapping	1961	F. V. Atkinson
+ PDF Chat	On a Problem of Erdös and Szekeres	1961	F. V. Atkinson
+	A constant area principle for steady oscillations. I	1960	F. V. Atkinson
+	A MATRIX INEQUALITY	1960	F. V. Atkinson G. A. Watterson P. A. P. Moran
+	On Stability and Asymptotic Equilibrium	1958	F. V. Atkinson
+	Asymptotic formulae for linear oscillations	1957	F. V. Atkinson
+ PDF Chat	On polynomials with least weighted maximum	1956	F. V. Atkinson
+	On orthogonal polynomials with extrema at the ends of the orthogonality interval	1955	F. V. Atkinson
+ PDF Chat	On second-order non-linear oscillation	1955	F. V. Atkinson
+ PDF Chat	On Asymptotically Linear Second-Order Oscillations	1955	F. V. Atkinson
+	The asymptotic solution of second-order differential equations	1954	F. V. Atkinson
+	Über die Nullstellen gewisser extremaler Polynome	1952	F. V. Atkinson
+	A spectral problem for completely continuous operators	1952	F. V. Atkinson
+ PDF Chat	On a theorem of K. Yosida	1952	F. V. Atkinson
+	The Riemann zeta-function	1950	F. V. Atkinson
+	Symmetric linear operators on a Banach space	1949	F. V. Atkinson
+	LXI. On Sommerfeld's “radiation condition.”	1949	F. V. Atkinson
+ PDF Chat	The mean-value of the Riemann zeta function	1949	F. V. Atkinson
+	THE MEAN-VALUES OF ARITHMETICAL FUNCTIONS	1949	F. V. Atkinson LORD CHERWELL
+	Über die Stirlingsche Reihe	1948	F. V. Atkinson
+	A Mean Value Property of the Riemann Zeta-Function	1948	F. V. Atkinson
+	THE ABEL SUMMATION OF CERTAIN DIRICHLET SERIES	1948	F. V. Atkinson
+	The Mean Value of the Zeta-Function on the Critical Line	1942	F. V. Atkinson
+	A DIVISOR PROBLEM	1941	F. V. Atkinson
+	A Summation Formula for p (n ), the Partition Function	1939	F. V. Atkinson
+	THE MEAN VALUE OF THE ZETA-FUNCTION ON THE CRITICAL LINE	1939	F. V. Atkinson

Common Coauthors

Coauthor	Papers Together
L. A. Peletier	13
W. N. Everitt	4
Charles T. Fulton	3
John R. Haddock	2
Man Kam Kwong	2
Hans G. Kaper	2
James Serrin	2
Heinz Langer	1
K. S. Ong	1
Shunian Zhang	1
Olof J. Staffans	1
Ronald Grimmer	1
А. А. Шкаликов	1
William T. Patula	1
Anton Zettl	1
W. D. Evans	1
J. B. McLeod	1
R. Mennicken	1
M. S. P. Eastham	1
Haı̈m Brezis	1
George H. Weiss	1
G. A. Watterson	1
Jack W. Macki	1
LORD CHERWELL	1
Angelo B. Mingarelli	1
P. A. P. Moran	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	8
+	FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS	1931	Russell Fowler	6
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	5
+	Emden-Fowler equations involving critical exponents	1986	F. V. Atkinson L. A. Peletier	5
+	Asymptotic formulae for linear oscillations	1957	F. V. Atkinson	5
+	Ordinary Differential Equations	2002	Philip Hartman	5
+	Ground states of ??u=f(u) and the Emden-Fowler equation	1986	F. V. Atkinson L. A. Peletier	5
+	Eigenfunction expansions associated with second-order differential equations	1946	E. C. Titchmarsh	4
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	4
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	4
+	The asymptotic solution of second-order differential equations	1954	F. V. Atkinson	4
+	Large solutions of elliptic equations involving critical exponents	1988	F. V. Atkinson L. A. Peletier	4
+ PDF Chat	Orthogonal Polynomials	1971		4
+	On the asymptotic form of the Titchmarsh-Weyl<i>m</i>-coefficient†	1978	W. N. Everitt S. Gotskalk Halvorsen	4
+	Stability and Asymptotic Behavior of Differential Equations.	1968	F. S. Van Vleck W. A. Coppel	4
+	<i>Discrete and Continuous Boundary Problems</i>	1964	F. V. Atkinson George H. Weiss	4
+ PDF Chat	Parametrizations of Titchmarsh’s 𝑚(𝜆)-functions in the limit circle case	1977	Charles T. Fulton	4
+	On a Property of the <i>M</i> -Coefficient of a Secondorder Linear Differential Equation	1972	W. N. Everitt	4
+	11.—Limit-<i>n</i> Criteria of Integral Type	1975	F. V. Atkinson	3
+	On the Spectrum of a Second Order Linear Differentia! Equation with a p-integrable Coefficient!	1972	W. N. Everitt	3
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	3
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	3
+	ON NONEXISTENCE OF GROUND STATES	1988	F. V. Atkinson L. A. Peletier	3
+	The asymptotic nature of solutions of linear systems of differential equations	1948	Norman Levinson	3
+	Some variational problems with lack of compactness	1986	Haı̈m Brezis	3
+ PDF Chat	Self-Adjointness and Spectra of Sturm-Liouville Operators.	1959	Inge Brinck	3
+ PDF Chat	On a second order nonlinear oscillation problem	1970	Charles V. Coffman J. S. W. Wong	3
+	Uniqueness of positive solutions of semilinear equations in ℝn	1983	L. A. Peletier James Serrin	3
+	Stability Theory of Differential Equations.	1954	J. J. L. Hinrichsen Richard Bellman	3
+	On a Class of Integral Inequalities	1978	W. N. Everitt Anton Zettl	3
+	On a Limit-Point Method of Hartman	1972	M. S. P. Eastham	3
+	The shape of a pendant liquid drop	1979	Paul Concus Robert Finn	3
+	On the Generalized Emden–Fowler Equation	1975	James S. W. Wong	3
+	On the location of the Weyl circles	1981	F. V. Atkinson	3
+	Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains	1987	Donato Fortunato Enrico Jannelli	3
+	The Number of L 2 -Solutions of x � � + q(t)x = 0	1951	Philip Hartman	3
+	Discrete and Continuous Boundary Problems	1964		3
+	Equazioni differenziali nel campo reale	1948	Giovanni Sansone	2
+ PDF Chat	On the growth of solutions in the oscillatory case	1975	Robert M. Kauffman	2
+	On the Limit-Point Classification of Second-Order Differential Operators	1966	W. N. Everitt	2
+	On the Existence of Positive Solutions of Semilinear Elliptic Equations	1982	Pierre‐Louis Lions	2
+ PDF Chat	Determinants of orthogonal polynomials	1962	Samuel Karlin James McGregor	2
+	Radial solutions of a semilinear elliptic equation at a critical exponent	1988	Christopher K. R. T. Jones	2
+ PDF Chat	A stability condition for the differential equation $y^{\prime\prime}+p(x)y=0.$.	1965	A. C. Lazer	2
+	Some inequalities associated with certain ordinary differential operators	1972	William Norrie Everitt M. Giertz	2
+	A nonlinear oscillation problem	1969	Zeev Nehari	2
+	Ground States for the Prescribed Mean Curvature Equation: The Supercritical Case	1988	F. V. Atkinson L. A. Peletier James Serrin	2
+	LIMIT-CIRCLE DIFFERENTIAL EXPRESSIONS OF THE SECOND ORDER WITH AN OSCILLATING COEFFICIENT	1973	M. S. P. Eastham	2
+	On the Solutions in <i>L</i> <sup>2</sup> (−∞, ∞) of <i>y</i> ″ + (λ − <i>q</i> (<i>x</i> ))<i>y</i> = 0 when <i>q</i> is Rapidly Increasing	1964	M. Giertz	2
+	GAPS IN THE ESSENTIAL SPECTRUM ASSOCIATED WITH SINGULAR DIFFERENTIAL OPERATORS	1967	M. S. P. Eastham	2