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Atkinson, Frederick Valentine

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Author ID: atkinson.frederick-valentine Recent zbMATH articles by "Atkinson, Frederick Valentine"
Published as: Atkinson, F. V.; Atkinson, Frederick V.; Atkinson, Frederick-Valentine; Atkinson, Frederik V.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 112 Publications since 1939, including 4 Books
1 Contribution as Editor
Biographic References: 3 Publications
Co-Authors: 30 Co-Authors with 46 Joint Publications
952 Co-Co-Authors
all top 5

Serials

13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Mathematical Analysis and Applications
5 The Quarterly Journal of Mathematics. Oxford Series
4 Archive for Rational Mechanics and Analysis
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Differential and Integral Equations
3 Journal of the London Mathematical Society
2 Acta Scientiarum Mathematicarum
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 The Quarterly Journal of Mathematics. Oxford Second Series
2 Revista. Serie A. Matematica y Fisica Teorica
2 Asymptotic Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bulletin of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Second Series
2 Mathematics in Science and Engineering
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica
1 Canadian Journal of Mathematics
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Funkcialaj Ekvacioj. Serio Internacia
1 Journal für die Reine und Angewandte Mathematik
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Methods and Applications of Analysis
1 Electronic Journal of Qualitative Theory of Differential Equations
1 Annals of Mathematics. Second Series
1 The Philosophical Magazine, VII. Series
1 Proceedings of the Japan Academy
1 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique
1 Proceedings of the Glasgow Mathematical Association
1 CMS Conference Proceedings
1 Journal of Rational Mechanics and Analysis
1 Annals of Mathematical Statistics
1 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 2,001 times in 1,805 Documents Cited by Year
Discrete and continuous boundary problems. Zbl 0117.05806
Atkinson, F. V.
517
1964
On second-order non-linear oscillations. Zbl 0065.32001
Atkinson, F. V.
149
1955
Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. Zbl 0555.47001
Atkinson, F. V.
94
1972
The mean-value of the Riemann zeta function. Zbl 0036.18603
Atkinson, F. V.
80
1949
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
77
1994
Elliptic equations with nearly critical growth. Zbl 0657.35058
Atkinson, F. V.; Peletier, L. A.
63
1987
Some aspects of Baxter’s functional equation. Zbl 0118.12903
Atkinson, F. V.
58
1963
Emden-Fowler equations involving critical exponents. Zbl 0662.34024
Atkinson, F. V.; Peletier, L. A.
55
1986
On determining phase spaces for functional differential equations. Zbl 0665.45004
Atkinson, F. V.; Haddock, J. R.
51
1988
Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099
Atkinson, F. V.; Brézis, Haïm; Peletier, L. A.
49
1990
Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems. Zbl 0599.34026
Atkinson, F. V.; Mingarelli, A. B.
43
1987
Similarity solutions of the nonlinear diffusion equation. Zbl 0293.35039
Atkinson, F. V.; Peletier, L. A.
41
1974
Multiparameter spectral theory. Zbl 0191.42402
Atkinson, F. V.
38
1968
On the location of the Weyl circles. Zbl 0485.34012
Atkinson, F. V.
36
1981
Criteria for asymptotic constancy of solutions of functional differential equations. Zbl 0529.34065
Atkinson, F. V.; Haddock, J. R.
35
1983
The asymptotic solution of second-order differential equations. Zbl 0056.08101
Atkinson, F. V.
33
1954
Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation. Zbl 0606.35029
Atkinson, F. V.; Peletier, L. A.
30
1986
On relatively regular operators. Zbl 0052.12502
Atkinson, F. V.
29
1953
Solutions d’équations elliptiques avec exposant de Sobolev critique qui changent de signe. (Nodal solutions of elliptic equations with critical Sobolev exponents). Zbl 0696.35059
Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A.
27
1988
Similarity profiles of flows through porous media. Zbl 0249.35043
Atkinson, F. V.; Peletier, L. A.
24
1971
Die normale Lösbarkeit linearer Gleichungen in normierten Räumen. Zbl 0042.12001
Atkinson, F. V.
23
1951
Discrete and continuous boundary problems. Zbl 0169.10601
Atkinson, F. V.
23
1968
Multiparameter eigenvalue problems. Sturm-Liouville theory. Zbl 1222.34001
Atkinson, F. V.; Mingarelli, Angelo B.
22
2011
On Sommerfeld’s ”Radiation condition”. Zbl 0033.03504
Atkinson, F. V.
22
1949
Limit-n criteria of integral type. Zbl 0344.34014
Atkinson, F. V.
22
1975
Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\). Zbl 0657.35057
Atkinson, F. V.; Peletier, L. A.
21
1986
On second-order differential inequalities. Zbl 0332.34011
Atkinson, F. V.
20
1974
A matrix inequality. Zbl 0136.24905
Atkinson, F. V.; Watterson, G. A.; Moran, P. A. P.
15
1960
Wave propagation and the Bremmer series. Zbl 0103.05502
Atkinson, F. V.
15
1960
A spectral problem for completely continuous operators. Zbl 0047.36001
Atkinson, F. V.
14
1952
Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042
Atkinson, F. V.; Peletier, L. A.
12
1988
On sums of powers of complex numbers. Zbl 0097.26005
Atkinson, F. V.
12
1961
The mean value of the zeta-function on the critical line. Zbl 0022.02002
Atkinson, F. V.
12
1939
Asymptotic formulae for linear oscillations. Zbl 0085.07004
Atkinson, F. V.
12
1957
Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity. I. Zbl 0584.34015
Atkinson, F. V.; Fulton, C. T.
12
1984
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
12
1988
Bounds for the point spectrum for a Sturm-Liouville equation. Zbl 0426.34015
Atkinson, F. V.; Everitt, W. N.
11
1978
On solutions of a differential equation which are not of integrable square. Zbl 0226.34026
Atkinson, Frederick V.; Evans, W. Desmond
11
1972
Orthogonal polynomials which satisfy second order differential equations. Zbl 0492.42027
Atkinson, F. V.; Everitt, W. N.
11
1981
On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Zbl 0305.34039
Atkinson, F. V.; Everitt, W. N.; Og, K. S.
10
1974
Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives. Zbl 0715.34043
Atkinson, F. V.; Everitt, W. N.; Zettl, A.
9
1988
The mean value of the zeta-function on the critical line. Zbl 0028.39002
Atkinson, F. V.
8
1941
A divisor problem. Zbl 0063.00134
Atkinson, F. V.
8
1941
On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions. Zbl 0513.34032
Atkinson, F. V.
7
1982
Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter. Zbl 0792.34024
Atkinson, F. V.; Langer, H.; Mennicken, R.
7
1993
On a problem of Erdős and Szekeres. Zbl 0119.04304
Atkinson, F. V.
6
1961
On second-order linear oscillators. Zbl 0045.19501
Atkinson, F. V.
6
1951
Integral inequalities and exponential convergence of solutions of differential equations with bounded delay. Zbl 0514.34061
Atkinson, F. V.; Haddock, J. R.; Staffans, O. J.
6
1982
Nonlinear extensions of limit-point criteria. Zbl 0273.34008
Atkinson, Frederick V.
5
1973
The mean-values of arithmetical functions. Zbl 0033.16103
Atkinson, F. V.; Lord Cherwell
5
1949
Estimation of an eigen-value occuring in a stability problem. Zbl 0078.07503
Atkinson, F. V.
5
1957
Boundary problems leading to orthogonal polynomials in several variables. Zbl 0148.04801
Atkinson, F. V.
5
1963
On the order of magnitude of Titchmarsh-Weyl functions. Zbl 0715.34136
Atkinson, F. V.
5
1988
The limit-point, limit-circle nature of rapidly oscillating potentials. Zbl 0345.34009
Atkinson, F. V.; Eastham, M. S. P.; McLeod, J. B.
5
1977
Asymptotic formulae for eigenvalues of limit circle problems on a half line. Zbl 0597.34024
Atkinson, F. V.; Fulton, C. T.
5
1983
Sur les solutions radiales de l’équation \(\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p-1}u=0\). (On the radial solutions of the equation \(\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p- 1}u=0)\). Zbl 0606.35025
Atkinson, Frederick-Valentine; Peletier, Lambertus-Adrianus
5
1986
An oscillation criterion for linear second-order differential systems. Zbl 0559.34029
Atkinson, F. V.; Kaper, Hans G.; Man Kam Kwong
4
1985
Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
3
1992
A mean value property of the Riemann zeta-function. Zbl 0031.30203
Atkinson, F. V.
3
1948
Über die Nullstellen gewisser extremaler Polynome. Zbl 0048.04604
Atkinson, F. V.
3
1952
On polynomials with least weighted maximum. Zbl 0073.28701
Atkinson, F. V.
3
1956
Bounds for vertical points of solutions of prescribed mean curvature type equations. I. Zbl 0685.35022
Atkinson, F. V.; Peletier, L. A.
3
1989
On regular growth and asymptotic stability. Zbl 0629.34057
Atkinson, F. V.; Macki, J. W.
3
1986
On nonexistence of ground states. Zbl 0642.34033
Atkinson, F. V.; Peletier, L. A.
3
1988
Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents. Zbl 0767.34039
Atkinson, F. V.; Peletier, L. A.
2
1990
On asymptotically periodic linear systems. Zbl 0228.34022
Atkinson, F. V.
2
1968
The mean value of the zeta-function on the critical line. JFM 65.1227.02
Atkinson, F. V.
2
1939
The Abel summation of certain Dirichlet series. Zbl 0029.35402
Atkinson, F. V.
2
1948
Symmetric linear operators on a Banach space. Zbl 0035.35901
Atkinson, F. V.
2
1949
On a theorem of K. Yosida. Zbl 0047.34401
Atkinson, F. V.
2
1952
On stability and asymptotic equilibrium. Zbl 0084.08201
Atkinson, F. V.
2
1958
The reversibility of a differentiable mapping. Zbl 0161.24803
Atkinson, F. V.
2
1961
Some further estimates concerning sums of powers of complex numbers. Zbl 0175.32702
Atkinson, F. V.
2
1969
On bounds for Titchmarsh-Weyl m-coefficients and for spectral functions for second-order differential operators. Zbl 0543.34012
Atkinson, F. V.
2
1984
Asymptotics of the Titchmarsh-Weyl \(m\)-coefficient for non-integrable potentials. Zbl 0936.34073
Atkinson, F. V.; Fulton, C. T.
2
1999
Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues. Zbl 0514.34018
Atkinson, F. V.; Fulton, C. T.
2
1982
Asymptotic integration and the \(L^2\)-classification of squares of second-order differential operators. Zbl 0356.34021
Atkinson, F. V.
2
1976
A stability problem with algebraic aspects. Zbl 0393.34023
Atkinson, F. V.
2
1978
Elliptic equations with critical growth when N\(\geq 3\) and \(N=2\). Zbl 0669.35038
Atkinson, F. V.; Peletier, L. A.
2
1988
Higher approximations to eigenvalues for a nonlinear elliptic problem. Zbl 0795.35028
Atkinson, F. V.
1
1992
An inequality. Zbl 0242.26011
Atkinson, F. V.
1
1971
A constant area principle for steady oscillations. I. Zbl 0102.08002
Atkinson, F. V.
1
1960
The Riemann zeta-function. Zbl 0036.18701
Atkinson, F. V.
1
1950
On linear perturbation of non-linear differential equations. Zbl 0056.08201
Atkinson, F. V.
1
1954
On asymptotically linear second-order oscillations. Zbl 0064.33305
Atkinson, F. V.
1
1955
Christoffel’s work on shock waves. Zbl 0483.76001
Atkinson, F. V.
1
1981
Elliptic equations with critical exponents. Zbl 0646.35029
Atkinson, F. V.; Peletier, L. A.
1
1987
Multiparameter eigenvalue problems. Sturm-Liouville theory. Zbl 1222.34001
Atkinson, F. V.; Mingarelli, Angelo B.
22
2011
Asymptotics of the Titchmarsh-Weyl \(m\)-coefficient for non-integrable potentials. Zbl 0936.34073
Atkinson, F. V.; Fulton, C. T.
2
1999
The essential spectrum of some matrix operators. Zbl 0831.47001
Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A.
77
1994
Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter. Zbl 0792.34024
Atkinson, F. V.; Langer, H.; Mennicken, R.
7
1993
Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
3
1992
Higher approximations to eigenvalues for a nonlinear elliptic problem. Zbl 0795.35028
Atkinson, F. V.
1
1992
Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099
Atkinson, F. V.; Brézis, Haïm; Peletier, L. A.
49
1990
Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents. Zbl 0767.34039
Atkinson, F. V.; Peletier, L. A.
2
1990
Bounds for vertical points of solutions of prescribed mean curvature type equations. I. Zbl 0685.35022
Atkinson, F. V.; Peletier, L. A.
3
1989
On determining phase spaces for functional differential equations. Zbl 0665.45004
Atkinson, F. V.; Haddock, J. R.
51
1988
Solutions d’équations elliptiques avec exposant de Sobolev critique qui changent de signe. (Nodal solutions of elliptic equations with critical Sobolev exponents). Zbl 0696.35059
Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A.
27
1988
Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042
Atkinson, F. V.; Peletier, L. A.
12
1988
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
12
1988
Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives. Zbl 0715.34043
Atkinson, F. V.; Everitt, W. N.; Zettl, A.
9
1988
On the order of magnitude of Titchmarsh-Weyl functions. Zbl 0715.34136
Atkinson, F. V.
5
1988
On nonexistence of ground states. Zbl 0642.34033
Atkinson, F. V.; Peletier, L. A.
3
1988
Elliptic equations with critical growth when N\(\geq 3\) and \(N=2\). Zbl 0669.35038
Atkinson, F. V.; Peletier, L. A.
2
1988
Elliptic equations with nearly critical growth. Zbl 0657.35058
Atkinson, F. V.; Peletier, L. A.
63
1987
Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems. Zbl 0599.34026
Atkinson, F. V.; Mingarelli, A. B.
43
1987
Elliptic equations with critical exponents. Zbl 0646.35029
Atkinson, F. V.; Peletier, L. A.
1
1987
Emden-Fowler equations involving critical exponents. Zbl 0662.34024
Atkinson, F. V.; Peletier, L. A.
55
1986
Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation. Zbl 0606.35029
Atkinson, F. V.; Peletier, L. A.
30
1986
Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\). Zbl 0657.35057
Atkinson, F. V.; Peletier, L. A.
21
1986
Sur les solutions radiales de l’équation \(\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p-1}u=0\). (On the radial solutions of the equation \(\Delta u+(1/2)x.\nabla u+(1/2)\lambda u+| u| ^{p- 1}u=0)\). Zbl 0606.35025
Atkinson, Frederick-Valentine; Peletier, Lambertus-Adrianus
5
1986
On regular growth and asymptotic stability. Zbl 0629.34057
Atkinson, F. V.; Macki, J. W.
3
1986
An oscillation criterion for linear second-order differential systems. Zbl 0559.34029
Atkinson, F. V.; Kaper, Hans G.; Man Kam Kwong
4
1985
Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity. I. Zbl 0584.34015
Atkinson, F. V.; Fulton, C. T.
12
1984
On bounds for Titchmarsh-Weyl m-coefficients and for spectral functions for second-order differential operators. Zbl 0543.34012
Atkinson, F. V.
2
1984
Criteria for asymptotic constancy of solutions of functional differential equations. Zbl 0529.34065
Atkinson, F. V.; Haddock, J. R.
35
1983
Asymptotic formulae for eigenvalues of limit circle problems on a half line. Zbl 0597.34024
Atkinson, F. V.; Fulton, C. T.
5
1983
On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions. Zbl 0513.34032
Atkinson, F. V.
7
1982
Integral inequalities and exponential convergence of solutions of differential equations with bounded delay. Zbl 0514.34061
Atkinson, F. V.; Haddock, J. R.; Staffans, O. J.
6
1982
Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues. Zbl 0514.34018
Atkinson, F. V.; Fulton, C. T.
2
1982
On the location of the Weyl circles. Zbl 0485.34012
Atkinson, F. V.
36
1981
Orthogonal polynomials which satisfy second order differential equations. Zbl 0492.42027
Atkinson, F. V.; Everitt, W. N.
11
1981
Christoffel’s work on shock waves. Zbl 0483.76001
Atkinson, F. V.
1
1981
Bounds for the point spectrum for a Sturm-Liouville equation. Zbl 0426.34015
Atkinson, F. V.; Everitt, W. N.
11
1978
A stability problem with algebraic aspects. Zbl 0393.34023
Atkinson, F. V.
2
1978
The limit-point, limit-circle nature of rapidly oscillating potentials. Zbl 0345.34009
Atkinson, F. V.; Eastham, M. S. P.; McLeod, J. B.
5
1977
Asymptotic integration and the \(L^2\)-classification of squares of second-order differential operators. Zbl 0356.34021
Atkinson, F. V.
2
1976
Limit-n criteria of integral type. Zbl 0344.34014
Atkinson, F. V.
22
1975
Similarity solutions of the nonlinear diffusion equation. Zbl 0293.35039
Atkinson, F. V.; Peletier, L. A.
41
1974
On second-order differential inequalities. Zbl 0332.34011
Atkinson, F. V.
20
1974
On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Zbl 0305.34039
Atkinson, F. V.; Everitt, W. N.; Og, K. S.
10
1974
Nonlinear extensions of limit-point criteria. Zbl 0273.34008
Atkinson, Frederick V.
5
1973
Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. Zbl 0555.47001
Atkinson, F. V.
94
1972
On solutions of a differential equation which are not of integrable square. Zbl 0226.34026
Atkinson, Frederick V.; Evans, W. Desmond
11
1972
Similarity profiles of flows through porous media. Zbl 0249.35043
Atkinson, F. V.; Peletier, L. A.
24
1971
An inequality. Zbl 0242.26011
Atkinson, F. V.
1
1971
Some further estimates concerning sums of powers of complex numbers. Zbl 0175.32702
Atkinson, F. V.
2
1969
Multiparameter spectral theory. Zbl 0191.42402
Atkinson, F. V.
38
1968
Discrete and continuous boundary problems. Zbl 0169.10601
Atkinson, F. V.
23
1968
On asymptotically periodic linear systems. Zbl 0228.34022
Atkinson, F. V.
2
1968
Discrete and continuous boundary problems. Zbl 0117.05806
Atkinson, F. V.
517
1964
Some aspects of Baxter’s functional equation. Zbl 0118.12903
Atkinson, F. V.
58
1963
Boundary problems leading to orthogonal polynomials in several variables. Zbl 0148.04801
Atkinson, F. V.
5
1963
On sums of powers of complex numbers. Zbl 0097.26005
Atkinson, F. V.
12
1961
On a problem of Erdős and Szekeres. Zbl 0119.04304
Atkinson, F. V.
6
1961
The reversibility of a differentiable mapping. Zbl 0161.24803
Atkinson, F. V.
2
1961
A matrix inequality. Zbl 0136.24905
Atkinson, F. V.; Watterson, G. A.; Moran, P. A. P.
15
1960
Wave propagation and the Bremmer series. Zbl 0103.05502
Atkinson, F. V.
15
1960
A constant area principle for steady oscillations. I. Zbl 0102.08002
Atkinson, F. V.
1
1960
On stability and asymptotic equilibrium. Zbl 0084.08201
Atkinson, F. V.
2
1958
Asymptotic formulae for linear oscillations. Zbl 0085.07004
Atkinson, F. V.
12
1957
Estimation of an eigen-value occuring in a stability problem. Zbl 0078.07503
Atkinson, F. V.
5
1957
On polynomials with least weighted maximum. Zbl 0073.28701
Atkinson, F. V.
3
1956
On second-order non-linear oscillations. Zbl 0065.32001
Atkinson, F. V.
149
1955
On asymptotically linear second-order oscillations. Zbl 0064.33305
Atkinson, F. V.
1
1955
The asymptotic solution of second-order differential equations. Zbl 0056.08101
Atkinson, F. V.
33
1954
On linear perturbation of non-linear differential equations. Zbl 0056.08201
Atkinson, F. V.
1
1954
On relatively regular operators. Zbl 0052.12502
Atkinson, F. V.
29
1953
A spectral problem for completely continuous operators. Zbl 0047.36001
Atkinson, F. V.
14
1952
Über die Nullstellen gewisser extremaler Polynome. Zbl 0048.04604
Atkinson, F. V.
3
1952
On a theorem of K. Yosida. Zbl 0047.34401
Atkinson, F. V.
2
1952
Die normale Lösbarkeit linearer Gleichungen in normierten Räumen. Zbl 0042.12001
Atkinson, F. V.
23
1951
On second-order linear oscillators. Zbl 0045.19501
Atkinson, F. V.
6
1951
The Riemann zeta-function. Zbl 0036.18701
Atkinson, F. V.
1
1950
The mean-value of the Riemann zeta function. Zbl 0036.18603
Atkinson, F. V.
80
1949
On Sommerfeld’s ”Radiation condition”. Zbl 0033.03504
Atkinson, F. V.
22
1949
The mean-values of arithmetical functions. Zbl 0033.16103
Atkinson, F. V.; Lord Cherwell
5
1949
Symmetric linear operators on a Banach space. Zbl 0035.35901
Atkinson, F. V.
2
1949
A mean value property of the Riemann zeta-function. Zbl 0031.30203
Atkinson, F. V.
3
1948
The Abel summation of certain Dirichlet series. Zbl 0029.35402
Atkinson, F. V.
2
1948
The mean value of the zeta-function on the critical line. Zbl 0028.39002
Atkinson, F. V.
8
1941
A divisor problem. Zbl 0063.00134
Atkinson, F. V.
8
1941
The mean value of the zeta-function on the critical line. Zbl 0022.02002
Atkinson, F. V.
12
1939
The mean value of the zeta-function on the critical line. JFM 65.1227.02
Atkinson, F. V.
2
1939
all top 5

Cited by 1,700 Authors

36 Binding, Paul Anthony
30 Shi, Yuming
29 Browne, Patrick J.
24 Atkinson, Frederick Valentine
23 Peletier, Lambertus Adrianus
21 Jeribi, Aref
19 Erbe, Lynn Harry
18 Harris, Bernard J.
18 Ugurlu, Ekin
17 Qi, Jiangang
16 Allahverdiev, Bilender Paşaoğlu
16 Ao, Jijun
16 Sun, Huaqing
15 Zettl, Anton
14 Hinton, Don Barker
14 Wong, James S. W.
13 Gesztesy, Fritz
13 Sun, Jiong
12 Adimurthi, A.
12 Eastham, Michael S. P.
12 Evans, William Desmond
12 Ivić, Aleksandar
12 Plestenjak, Bor
11 Diblík, Josef
11 Ebrahimi-Fard, Kurusch
11 Košir, Tomaž
11 Šimon Hilscher, Roman
11 Simon, Barry
11 Sleeman, Brian David
10 Chen, Shaozhu
10 Guo, Li
10 Möller, Manfred
10 Motohashi, Yoichi
9 Everitt, William Norrie
9 Gao, Chenghua
9 Kong, Qingkai
9 Kwong, Man Kam
9 Laurinčikas, Antanas
9 Moalla, Nedra
9 Swanson, Charles A.
8 Brown, B. Malcolm
8 Etgen, Garret J.
8 Jutila, Matti Ilmari
8 Krichen, Bilel
8 Matsumoto, Kohji
8 Noussair, Ezzat S.
8 Peng, Shuangjie
8 Tanigawa, Yoshio
8 Yadava, S. L.
8 Zemánek, Petr
8 Zvereva, Margarita Borisovna
7 Ammar, Aymen
7 Dahiya, Rajbir S.
7 de Snoo, Hendrik S. V.
7 Eckhardt, Jonathan
7 Graef, John R.
7 Huang, Feimin
7 Naboko, Serguei N.
7 O’Regan, Donal
7 Peterson, Allan C.
7 Ren, Guojing
7 Tretter, Christiane
7 Valovik, Dmitry V.
7 Volkmer, Hans
7 Wu, Hongyou
7 Zhedanov, Alexei S.
6 Butler, Geoffrey J.
6 Castro, Alfonso
6 Clark, Stephen L.
6 Derevyagin, Maxim S.
6 Faierman, Melvin
6 Fulton, Charles T.
6 Gao, Xing
6 Gilding, Brian H.
6 Hochstenbach, Michiel E.
6 Jódar Sanchez, Lucas Antonio
6 Johnson, Russell Allan
6 Kartsatos, Athanassios G.
6 Kusano, Takaŝi
6 Langer, Heinz
6 Littlejohn, Lance L.
6 Lu, Guozhen
6 Manchon, Dominique
6 Marletta, Marco
6 McLeod, John Bryce
6 Mennicken, Reinhard
6 Pacella, Filomena
6 Patula, William T.
6 Pistoia, Angela
6 Remling, Christian
6 Růžičková, Miroslava
6 Shaw, J. K.
6 Walha, Ines
6 Zheng, Zhaowen
5 Agarwal, Ravi P.
5 Ahlbrandt, Calvin D.
5 Bairamov, Elgiz
5 Derkach, Volodymyr Oleksandrovych
5 Druet, Olivier
5 Durán, Antonio José
...and 1,600 more Authors
all top 5

Cited in 332 Serials

215 Journal of Mathematical Analysis and Applications
104 Journal of Differential Equations
81 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
55 Linear Algebra and its Applications
49 Applied Mathematics and Computation
46 Journal of Computational and Applied Mathematics
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Proceedings of the American Mathematical Society
34 Transactions of the American Mathematical Society
30 Nonlinear Analysis. Theory, Methods & Applications
29 Annali di Matematica Pura ed Applicata. Serie Quarta
27 Archive for Rational Mechanics and Analysis
24 Mathematical Notes
23 Mathematische Nachrichten
21 Journal of Functional Analysis
20 Mathematische Annalen
18 Computers & Mathematics with Applications
18 Integral Equations and Operator Theory
18 Journal of Difference Equations and Applications
17 Quaestiones Mathematicae
17 Journal of Mathematical Sciences (New York)
16 Results in Mathematics
15 Journal of Mathematical Physics
15 Journal of Approximation Theory
14 Rocky Mountain Journal of Mathematics
14 Proceedings of the Edinburgh Mathematical Society. Series II
14 Proceedings of the Japan Academy. Series A
13 Journal of Number Theory
13 Mathematische Zeitschrift
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Abstract and Applied Analysis
12 Applicable Analysis
12 Mathematical Methods in the Applied Sciences
11 Monatshefte für Mathematik
11 Calculus of Variations and Partial Differential Equations
11 Advances in Difference Equations
10 Ukrainian Mathematical Journal
10 Applied Mathematics Letters
10 Indagationes Mathematicae. New Series
10 Mediterranean Journal of Mathematics
9 Communications in Mathematical Physics
9 Functional Analysis and its Applications
9 Communications in Partial Differential Equations
8 Lithuanian Mathematical Journal
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Journal of Soviet Mathematics
8 Acta Applicandae Mathematicae
8 Journal of Dynamics and Differential Equations
8 Doklady Mathematics
7 Advances in Mathematics
7 Czechoslovak Mathematical Journal
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Differential Equations
6 Journal d’Analyse Mathématique
6 Wave Motion
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Journal of Algebra
6 Manuscripta Mathematica
6 Mathematika
6 Acta Mathematica Hungarica
6 Filomat
6 Nonlinear Analysis. Real World Applications
5 Archiv der Mathematik
5 Mathematica Slovaca
5 Tôhoku Mathematical Journal. Second Series
5 SIAM Journal on Matrix Analysis and Applications
5 Discrete and Continuous Dynamical Systems
5 Complex Analysis and Operator Theory
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Inverse Problems
4 Journal of Computational Physics
4 Linear and Multilinear Algebra
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Arkiv för Matematik
4 Glasgow Mathematical Journal
4 Numerische Mathematik
4 Rendiconti del Seminario Matematico della Università di Padova
4 Physica D
4 Mathematical and Computer Modelling
4 Topological Methods in Nonlinear Analysis
4 Electronic Journal of Differential Equations (EJDE)
4 Acta Mathematica Sinica. English Series
4 Discrete and Continuous Dynamical Systems. Series B
4 Communications on Pure and Applied Analysis
4 Central European Journal of Mathematics
4 Mathematical Biosciences and Engineering
4 Bulletin of the American Mathematical Society
4 Operators and Matrices
4 Science China. Mathematics
4 Journal of Applied Analysis and Computation
3 Bulletin of the Australian Mathematical Society
3 Communications in Algebra
3 Mathematics of Computation
3 Reviews in Mathematical Physics
3 Acta Mathematica
3 BIT
3 Duke Mathematical Journal
3 Nagoya Mathematical Journal
3 Pacific Journal of Mathematics
3 Transactions of the Moscow Mathematical Society
...and 232 more Serials
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Cited in 58 Fields

802 Ordinary differential equations (34-XX)
393 Partial differential equations (35-XX)
368 Operator theory (47-XX)
144 Difference and functional equations (39-XX)
119 Number theory (11-XX)
106 Numerical analysis (65-XX)
76 Linear and multilinear algebra; matrix theory (15-XX)
68 Dynamical systems and ergodic theory (37-XX)
57 Fluid mechanics (76-XX)
53 Functional analysis (46-XX)
49 Quantum theory (81-XX)
45 Special functions (33-XX)
40 Harmonic analysis on Euclidean spaces (42-XX)
39 Associative rings and algebras (16-XX)
39 Biology and other natural sciences (92-XX)
38 Integral equations (45-XX)
32 Global analysis, analysis on manifolds (58-XX)
29 Nonassociative rings and algebras (17-XX)
23 Real functions (26-XX)
23 Functions of a complex variable (30-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Systems theory; control (93-XX)
20 Differential geometry (53-XX)
19 Combinatorics (05-XX)
19 Probability theory and stochastic processes (60-XX)
18 Optics, electromagnetic theory (78-XX)
15 Mechanics of deformable solids (74-XX)
14 Approximations and expansions (41-XX)
12 Mechanics of particles and systems (70-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 History and biography (01-XX)
8 Integral transforms, operational calculus (44-XX)
6 Commutative algebra (13-XX)
5 Algebraic geometry (14-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Sequences, series, summability (40-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Field theory and polynomials (12-XX)
4 Topological groups, Lie groups (22-XX)
3 Group theory and generalizations (20-XX)
3 Measure and integration (28-XX)
3 Statistics (62-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)

Citations by Year

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