Edit Profile (opens in new tab) Atkinson, Frederick Valentine Compute Distance To: Compute Author ID: atkinson.frederick-valentine Published as: Atkinson, F. V.; Atkinson, Frederick V.; Atkinson, Frederick-Valentine; Atkinson, Frederik V. more...less 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 948 Co-Co-Authors all top 5 Co-Authors 66 single-authored 18 Peletier, Lambertus Adrianus 4 Everitt, William Norrie 4 Fulton, Charles T. 3 Haddock, John R. 3 Mingarelli, Angelo B. 2 Brézis, Haïm 2 Evans, William Desmond 2 Kaper, Hans G. 2 Langer, Heinz 2 Mennicken, Reinhard 2 Serrin, James 1 Chen, Shaozhu 1 Church, J. D. 1 Eastham, Michael S. P. 1 Grimmer, Ronald 1 Harris, Bernard 1 Kwong, Man Kam 1 Langford, William F. 1 Lindemann, Frederick Alexander (Lord Cherwell) 1 Macki, Jack W. 1 Man Kam Kwong 1 McLeod, John Bryce 1 Moran, Patrick Alfred Pierce 1 Og, K. S. 1 Patula, William T. 1 Shkalikov, Andreĭ Andreevich 1 Staffans, Olof Johan 1 Watterson, G. A. 1 Zettl, Anton 1 Zhang, Shunian 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 all top 5 Fields 47 Ordinary differential equations (34-XX) 21 Partial differential equations (35-XX) 6 Operator theory (47-XX) 3 Number theory (11-XX) 3 Differential geometry (53-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,968 times in 1,776 Documents Cited by ▼ Year ▼ Discrete and continuous boundary problems. Zbl 0117.05806Atkinson, F. V. 508 1964 On second-order non-linear oscillations. Zbl 0065.32001Atkinson, F. V. 148 1955 Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. Zbl 0555.47001Atkinson, F. V. 92 1972 The mean-value of the Riemann zeta function. Zbl 0036.18603Atkinson, F. V. 78 1949 The essential spectrum of some matrix operators. Zbl 0831.47001Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 75 1994 Elliptic equations with nearly critical growth. Zbl 0657.35058Atkinson, F. V.; Peletier, L. A. 62 1987 Emden-Fowler equations involving critical exponents. Zbl 0662.34024Atkinson, F. V.; Peletier, L. A. 55 1986 Some aspects of Baxter’s functional equation. Zbl 0118.12903Atkinson, F. V. 55 1963 On determining phase spaces for functional differential equations. Zbl 0665.45004Atkinson, F. V.; Haddock, J. R. 50 1988 Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099Atkinson, F. V.; Brézis, Haïm; Peletier, L. A. 48 1990 Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems. Zbl 0599.34026Atkinson, F. V.; Mingarelli, A. B. 43 1987 Similarity solutions of the nonlinear diffusion equation. Zbl 0293.35039Atkinson, F. V.; Peletier, L. A. 39 1974 Multiparameter spectral theory. Zbl 0191.42402Atkinson, F. V. 37 1968 On the location of the Weyl circles. Zbl 0485.34012Atkinson, F. V. 36 1981 Criteria for asymptotic constancy of solutions of functional differential equations. Zbl 0529.34065Atkinson, F. V.; Haddock, J. R. 35 1983 The asymptotic solution of second-order differential equations. Zbl 0056.08101Atkinson, F. V. 33 1954 Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation. Zbl 0606.35029Atkinson, F. V.; Peletier, L. A. 30 1986 On relatively regular operators. Zbl 0052.12502Atkinson, 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 0696.35059Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A. 27 1988 Die normale Lösbarkeit linearer Gleichungen in normierten Räumen. Zbl 0042.12001Atkinson, F. V. 23 1951 Similarity profiles of flows through porous media. Zbl 0249.35043Atkinson, F. V.; Peletier, L. A. 23 1971 Discrete and continuous boundary problems. Zbl 0169.10601Atkinson, F. V. 23 1968 On Sommerfeld’s ”Radiation condition”. Zbl 0033.03504Atkinson, F. V. 22 1949 Limit-n criteria of integral type. Zbl 0344.34014Atkinson, F. V. 22 1975 Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\). Zbl 0657.35057Atkinson, F. V.; Peletier, L. A. 21 1986 Multiparameter eigenvalue problems. Sturm-Liouville theory. Zbl 1222.34001Atkinson, F. V.; Mingarelli, Angelo B. 20 2011 On second-order differential inequalities. Zbl 0332.34011Atkinson, F. V. 20 1974 Wave propagation and the Bremmer series. Zbl 0103.05502Atkinson, F. V. 15 1960 A matrix inequality. Zbl 0136.24905Atkinson, F. V.; Watterson, G. A.; Moran, P. A. P. 15 1960 A spectral problem for completely continuous operators. Zbl 0047.36001Atkinson, F. V. 14 1952 The mean value of the zeta-function on the critical line. Zbl 0022.02002Atkinson, F. V. 12 1939 Asymptotic formulae for linear oscillations. Zbl 0085.07004Atkinson, F. V. 12 1957 On sums of powers of complex numbers. Zbl 0097.26005Atkinson, F. V. 12 1961 Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity. I. Zbl 0584.34015Atkinson, F. V.; Fulton, C. T. 12 1984 Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042Atkinson, F. V.; Peletier, L. A. 12 1988 Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030Atkinson, F. V.; Peletier, L. A.; Serrin, J. 11 1988 On solutions of a differential equation which are not of integrable square. Zbl 0226.34026Atkinson, Frederick V.; Evans, W. Desmond 11 1972 Orthogonal polynomials which satisfy second order differential equations. Zbl 0492.42027Atkinson, F. V.; Everitt, W. N. 11 1981 Bounds for the point spectrum for a Sturm-Liouville equation. Zbl 0426.34015Atkinson, F. V.; Everitt, W. N. 11 1978 On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Zbl 0305.34039Atkinson, F. V.; Everitt, W. N.; Og, K. S. 10 1974 Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives. Zbl 0715.34043Atkinson, F. V.; Everitt, W. N.; Zettl, A. 9 1988 Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter. Zbl 0792.34024Atkinson, F. V.; Langer, H.; Mennicken, R. 7 1993 The mean value of the zeta-function on the critical line. Zbl 0028.39002Atkinson, F. V. 7 1941 A divisor problem. Zbl 0063.00134Atkinson, F. V. 7 1941 On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions. Zbl 0513.34032Atkinson, F. V. 7 1982 On second-order linear oscillators. Zbl 0045.19501Atkinson, F. V. 6 1951 Integral inequalities and exponential convergence of solutions of differential equations with bounded delay. Zbl 0514.34061Atkinson, F. V.; Haddock, J. R.; Staffans, O. J. 6 1982 The mean-values of arithmetical functions. Zbl 0033.16103Atkinson, F. V.; Lord Cherwell 5 1949 Estimation of an eigen-value occuring in a stability problem. Zbl 0078.07503Atkinson, F. V. 5 1957 Asymptotic formulae for eigenvalues of limit circle problems on a half line. Zbl 0597.34024Atkinson, 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 0606.35025Atkinson, Frederick-Valentine; Peletier, Lambertus-Adrianus 5 1986 Nonlinear extensions of limit-point criteria. Zbl 0273.34008Atkinson, Frederick V. 5 1973 The limit-point, limit-circle nature of rapidly oscillating potentials. Zbl 0345.34009Atkinson, F. V.; Eastham, M. S. P.; McLeod, J. B. 5 1977 On a problem of Erdős and Szekeres. Zbl 0119.04304Atkinson, F. V. 5 1961 Boundary problems leading to orthogonal polynomials in several variables. Zbl 0148.04801Atkinson, F. V. 5 1963 On the order of magnitude of Titchmarsh-Weyl functions. Zbl 0715.34136Atkinson, F. V. 5 1988 An oscillation criterion for linear second-order differential systems. Zbl 0559.34029Atkinson, F. V.; Kaper, Hans G.; Man Kam Kwong 4 1985 A mean value property of the Riemann zeta-function. Zbl 0031.30203Atkinson, F. V. 3 1948 Über die Nullstellen gewisser extremaler Polynome. Zbl 0048.04604Atkinson, F. V. 3 1952 On polynomials with least weighted maximum. Zbl 0073.28701Atkinson, F. V. 3 1956 On regular growth and asymptotic stability. Zbl 0629.34057Atkinson, F. V.; Macki, J. W. 3 1986 Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012Atkinson, F. V.; Peletier, L. A.; Serrin, J. 3 1992 Bounds for vertical points of solutions of prescribed mean curvature type equations. I. Zbl 0685.35022Atkinson, F. V.; Peletier, L. A. 3 1989 On nonexistence of ground states. Zbl 0642.34033Atkinson, F. V.; Peletier, L. A. 3 1988 The Abel summation of certain Dirichlet series. Zbl 0029.35402Atkinson, F. V. 2 1948 Symmetric linear operators on a Banach space. Zbl 0035.35901Atkinson, F. V. 2 1949 On a theorem of K. Yosida. Zbl 0047.34401Atkinson, F. V. 2 1952 On stability and asymptotic equilibrium. Zbl 0084.08201Atkinson, F. V. 2 1958 Elliptic equations with critical growth when N\(\geq 3\) and \(N=2\). Zbl 0669.35038Atkinson, F. V.; Peletier, L. A. 2 1988 Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents. Zbl 0767.34039Atkinson, F. V.; Peletier, L. A. 2 1990 A stability problem with algebraic aspects. Zbl 0393.34023Atkinson, F. V. 2 1978 On asymptotically periodic linear systems. Zbl 0228.34022Atkinson, F. V. 2 1968 Asymptotics of the Titchmarsh-Weyl \(m\)-coefficient for non-integrable potentials. Zbl 0936.34073Atkinson, F. V.; Fulton, C. T. 2 1999 The reversibility of a differentiable mapping. Zbl 0161.24803Atkinson, F. V. 2 1961 Some further estimates concerning sums of powers of complex numbers. Zbl 0175.32702Atkinson, F. V. 2 1969 Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues. Zbl 0514.34018Atkinson, F. V.; Fulton, C. T. 2 1982 Asymptotic integration and the \(L^2\)-classification of squares of second-order differential operators. Zbl 0356.34021Atkinson, F. V. 2 1976 On bounds for Titchmarsh-Weyl m-coefficients and for spectral functions for second-order differential operators. Zbl 0543.34012Atkinson, F. V. 2 1984 The mean value of the zeta-function on the critical line. JFM 65.1227.02Atkinson, F. V. 1 1939 The Riemann zeta-function. Zbl 0036.18701Atkinson, F. V. 1 1950 On linear perturbation of non-linear differential equations. Zbl 0056.08201Atkinson, F. V. 1 1954 On asymptotically linear second-order oscillations. Zbl 0064.33305Atkinson, F. V. 1 1955 Elliptic equations with critical exponents. Zbl 0646.35029Atkinson, F. V.; Peletier, L. A. 1 1987 Higher approximations to eigenvalues for a nonlinear elliptic problem. Zbl 0795.35028Atkinson, F. V. 1 1992 An inequality. Zbl 0242.26011Atkinson, F. V. 1 1971 Christoffel’s work on shock waves. Zbl 0483.76001Atkinson, F. V. 1 1981 A constant area principle for steady oscillations. I. Zbl 0102.08002Atkinson, F. V. 1 1960 Multiparameter eigenvalue problems. Sturm-Liouville theory. Zbl 1222.34001Atkinson, F. V.; Mingarelli, Angelo B. 20 2011 Asymptotics of the Titchmarsh-Weyl \(m\)-coefficient for non-integrable potentials. Zbl 0936.34073Atkinson, F. V.; Fulton, C. T. 2 1999 The essential spectrum of some matrix operators. Zbl 0831.47001Atkinson, F. V.; Langer, H.; Mennicken, R.; Shkalikov, A. A. 75 1994 Sturm-Liouville problems with coefficients which depend analytically on the eigenvalue parameter. Zbl 0792.34024Atkinson, F. V.; Langer, H.; Mennicken, R. 7 1993 Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012Atkinson, F. V.; Peletier, L. A.; Serrin, J. 3 1992 Higher approximations to eigenvalues for a nonlinear elliptic problem. Zbl 0795.35028Atkinson, F. V. 1 1992 Nodal solutions of elliptic equations with critical Sobolev exponents. Zbl 0702.35099Atkinson, F. V.; Brézis, Haïm; Peletier, L. A. 48 1990 Oscillations of solutions of perturbed autonomous equations with an application to nonlinear elliptic eigenvalue problems involving critical Sobolev exponents. Zbl 0767.34039Atkinson, F. V.; Peletier, L. A. 2 1990 Bounds for vertical points of solutions of prescribed mean curvature type equations. I. Zbl 0685.35022Atkinson, F. V.; Peletier, L. A. 3 1989 On determining phase spaces for functional differential equations. Zbl 0665.45004Atkinson, F. V.; Haddock, J. R. 50 1988 Solutions d’équations elliptiques avec exposant de Sobolev critique qui changent de signe. (Nodal solutions of elliptic equations with critical Sobolev exponents). Zbl 0696.35059Atkinson, Frederik V.; Brézis, Haïm; Peletier, Lambertus A. 27 1988 Large solutions of elliptic equations involving critical exponents. Zbl 0682.35042Atkinson, F. V.; Peletier, L. A. 12 1988 Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030Atkinson, F. V.; Peletier, L. A.; Serrin, J. 11 1988 Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives. Zbl 0715.34043Atkinson, F. V.; Everitt, W. N.; Zettl, A. 9 1988 On the order of magnitude of Titchmarsh-Weyl functions. Zbl 0715.34136Atkinson, F. V. 5 1988 On nonexistence of ground states. Zbl 0642.34033Atkinson, F. V.; Peletier, L. A. 3 1988 Elliptic equations with critical growth when N\(\geq 3\) and \(N=2\). Zbl 0669.35038Atkinson, F. V.; Peletier, L. A. 2 1988 Elliptic equations with nearly critical growth. Zbl 0657.35058Atkinson, F. V.; Peletier, L. A. 62 1987 Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm-Liouville problems. Zbl 0599.34026Atkinson, F. V.; Mingarelli, A. B. 43 1987 Elliptic equations with critical exponents. Zbl 0646.35029Atkinson, F. V.; Peletier, L. A. 1 1987 Emden-Fowler equations involving critical exponents. Zbl 0662.34024Atkinson, F. V.; Peletier, L. A. 55 1986 Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation. Zbl 0606.35029Atkinson, F. V.; Peletier, L. A. 30 1986 Ground states and Dirichlet problems for \(-\Delta u=f(u)\) in \(R^ 2\). Zbl 0657.35057Atkinson, 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 0606.35025Atkinson, Frederick-Valentine; Peletier, Lambertus-Adrianus 5 1986 On regular growth and asymptotic stability. Zbl 0629.34057Atkinson, F. V.; Macki, J. W. 3 1986 An oscillation criterion for linear second-order differential systems. Zbl 0559.34029Atkinson, 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 0584.34015Atkinson, F. V.; Fulton, C. T. 12 1984 On bounds for Titchmarsh-Weyl m-coefficients and for spectral functions for second-order differential operators. Zbl 0543.34012Atkinson, F. V. 2 1984 Criteria for asymptotic constancy of solutions of functional differential equations. Zbl 0529.34065Atkinson, F. V.; Haddock, J. R. 35 1983 Asymptotic formulae for eigenvalues of limit circle problems on a half line. Zbl 0597.34024Atkinson, 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 0513.34032Atkinson, F. V. 7 1982 Integral inequalities and exponential convergence of solutions of differential equations with bounded delay. Zbl 0514.34061Atkinson, F. V.; Haddock, J. R.; Staffans, O. J. 6 1982 Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues. Zbl 0514.34018Atkinson, F. V.; Fulton, C. T. 2 1982 On the location of the Weyl circles. Zbl 0485.34012Atkinson, F. V. 36 1981 Orthogonal polynomials which satisfy second order differential equations. Zbl 0492.42027Atkinson, F. V.; Everitt, W. N. 11 1981 Christoffel’s work on shock waves. Zbl 0483.76001Atkinson, F. V. 1 1981 Bounds for the point spectrum for a Sturm-Liouville equation. Zbl 0426.34015Atkinson, F. V.; Everitt, W. N. 11 1978 A stability problem with algebraic aspects. Zbl 0393.34023Atkinson, F. V. 2 1978 The limit-point, limit-circle nature of rapidly oscillating potentials. Zbl 0345.34009Atkinson, 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 0356.34021Atkinson, F. V. 2 1976 Limit-n criteria of integral type. Zbl 0344.34014Atkinson, F. V. 22 1975 Similarity solutions of the nonlinear diffusion equation. Zbl 0293.35039Atkinson, F. V.; Peletier, L. A. 39 1974 On second-order differential inequalities. Zbl 0332.34011Atkinson, F. V. 20 1974 On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Zbl 0305.34039Atkinson, F. V.; Everitt, W. N.; Og, K. S. 10 1974 Nonlinear extensions of limit-point criteria. Zbl 0273.34008Atkinson, Frederick V. 5 1973 Multiparameter eigenvalue problems. Volume I: Matrices and compact operators. Zbl 0555.47001Atkinson, F. V. 92 1972 On solutions of a differential equation which are not of integrable square. Zbl 0226.34026Atkinson, Frederick V.; Evans, W. Desmond 11 1972 Similarity profiles of flows through porous media. Zbl 0249.35043Atkinson, F. V.; Peletier, L. A. 23 1971 An inequality. Zbl 0242.26011Atkinson, F. V. 1 1971 Some further estimates concerning sums of powers of complex numbers. Zbl 0175.32702Atkinson, F. V. 2 1969 Multiparameter spectral theory. Zbl 0191.42402Atkinson, F. V. 37 1968 Discrete and continuous boundary problems. Zbl 0169.10601Atkinson, F. V. 23 1968 On asymptotically periodic linear systems. Zbl 0228.34022Atkinson, F. V. 2 1968 Discrete and continuous boundary problems. Zbl 0117.05806Atkinson, F. V. 508 1964 Some aspects of Baxter’s functional equation. Zbl 0118.12903Atkinson, F. V. 55 1963 Boundary problems leading to orthogonal polynomials in several variables. Zbl 0148.04801Atkinson, F. V. 5 1963 On sums of powers of complex numbers. Zbl 0097.26005Atkinson, F. V. 12 1961 On a problem of Erdős and Szekeres. Zbl 0119.04304Atkinson, F. V. 5 1961 The reversibility of a differentiable mapping. Zbl 0161.24803Atkinson, F. V. 2 1961 Wave propagation and the Bremmer series. Zbl 0103.05502Atkinson, F. V. 15 1960 A matrix inequality. Zbl 0136.24905Atkinson, F. V.; Watterson, G. A.; Moran, P. A. P. 15 1960 A constant area principle for steady oscillations. I. Zbl 0102.08002Atkinson, F. V. 1 1960 On stability and asymptotic equilibrium. Zbl 0084.08201Atkinson, F. V. 2 1958 Asymptotic formulae for linear oscillations. Zbl 0085.07004Atkinson, F. V. 12 1957 Estimation of an eigen-value occuring in a stability problem. Zbl 0078.07503Atkinson, F. V. 5 1957 On polynomials with least weighted maximum. Zbl 0073.28701Atkinson, F. V. 3 1956 On second-order non-linear oscillations. Zbl 0065.32001Atkinson, F. V. 148 1955 On asymptotically linear second-order oscillations. Zbl 0064.33305Atkinson, F. V. 1 1955 The asymptotic solution of second-order differential equations. Zbl 0056.08101Atkinson, F. V. 33 1954 On linear perturbation of non-linear differential equations. Zbl 0056.08201Atkinson, F. V. 1 1954 On relatively regular operators. Zbl 0052.12502Atkinson, F. V. 29 1953 A spectral problem for completely continuous operators. Zbl 0047.36001Atkinson, F. V. 14 1952 Über die Nullstellen gewisser extremaler Polynome. Zbl 0048.04604Atkinson, F. V. 3 1952 On a theorem of K. Yosida. Zbl 0047.34401Atkinson, F. V. 2 1952 Die normale Lösbarkeit linearer Gleichungen in normierten Räumen. Zbl 0042.12001Atkinson, F. V. 23 1951 On second-order linear oscillators. Zbl 0045.19501Atkinson, F. V. 6 1951 The Riemann zeta-function. Zbl 0036.18701Atkinson, F. V. 1 1950 The mean-value of the Riemann zeta function. Zbl 0036.18603Atkinson, F. V. 78 1949 On Sommerfeld’s ”Radiation condition”. Zbl 0033.03504Atkinson, F. V. 22 1949 The mean-values of arithmetical functions. Zbl 0033.16103Atkinson, F. V.; Lord Cherwell 5 1949 Symmetric linear operators on a Banach space. Zbl 0035.35901Atkinson, F. V. 2 1949 A mean value property of the Riemann zeta-function. Zbl 0031.30203Atkinson, F. V. 3 1948 The Abel summation of certain Dirichlet series. Zbl 0029.35402Atkinson, F. V. 2 1948 The mean value of the zeta-function on the critical line. Zbl 0028.39002Atkinson, F. V. 7 1941 A divisor problem. Zbl 0063.00134Atkinson, F. V. 7 1941 The mean value of the zeta-function on the critical line. Zbl 0022.02002Atkinson, F. V. 12 1939 The mean value of the zeta-function on the critical line. JFM 65.1227.02Atkinson, F. V. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 1,660 Authors 36 Binding, Paul Anthony 30 Shi, Yuming 29 Browne, Patrick J. 24 Atkinson, Frederick Valentine 23 Peletier, Lambertus Adrianus 20 Jeribi, Aref 19 Erbe, Lynn Harry 18 Harris, Bernard J. 17 Qi, Jiangang 17 Ugurlu, Ekin 16 Allahverdiev, Bilender Paşaoğlu 16 Ao, Jijun 16 Sun, Huaqing 15 Zettl, Anton 14 Hinton, Don Barker 14 Wong, James S. W. 13 Sun, Jiong 12 Adimurthi, A. 12 Eastham, Michael S. P. 12 Evans, William Desmond 12 Gesztesy, Fritz 12 Ivić, Aleksandar 11 Diblík, Josef 11 Ebrahimi-Fard, Kurusch 11 Plestenjak, Bor 11 Šimon Hilscher, Roman 11 Simon, Barry 11 Sleeman, Brian David 10 Chen, Shaozhu 10 Guo, Li 10 Košir, Tomaž 10 Möller, Manfred 10 Motohashi, Yoichi 9 Everitt, William Norrie 9 Kong, Qingkai 9 Kwong, Man Kam 9 Laurinčikas, Antanas 9 Swanson, Charles A. 8 Brown, B. Malcolm 8 Etgen, Garret J. 8 Gao, Chenghua 8 Jutila, Matti Ilmari 8 Krichen, Bilel 8 Matsumoto, Kohji 8 Moalla, Nedra 8 Noussair, Ezzat S. 8 Peng, Shuangjie 8 Tanigawa, Yoshio 8 Yadava, S. L. 8 Zemánek, Petr 8 Zvereva, Margarita Borisovna 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 Tretter, Christiane 7 Valovik, Dmitry V. 7 Volkmer, Hans 7 Wu, Hongyou 7 Zhedanov, Alexei S. 6 Ammar, Aymen 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 Ren, Guojing 6 Růžičková, Miroslava 6 Shaw, J. K. 6 Zheng, Zhaowen 5 Agarwal, Ravi P. 5 Ahlbrandt, Calvin D. 5 Bairamov, Elgiz 5 Derkach, Vladimir Alexandrovich 5 Druet, Olivier 5 Durán, Antonio José 5 Grimmer, Ronald ...and 1,560 more Authors all top 5 Cited in 325 Serials 214 Journal of Mathematical Analysis and Applications 104 Journal of Differential Equations 80 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 53 Linear Algebra and its Applications 49 Applied Mathematics and Computation 45 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 Journal of Difference Equations and Applications 17 Integral Equations and Operator Theory 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 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 Advances in Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 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 Tohoku Mathematical Journal. Second Series 5 SIAM Journal on Matrix Analysis and Applications 5 Discrete and Continuous Dynamical Systems 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 Journal of Algebra 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 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 3 Acta Mathematicae Applicatae Sinica. English Series 3 Constructive Approximation ...and 225 more Serials all top 5 Cited in 57 Fields 794 Ordinary differential equations (34-XX) 389 Partial differential equations (35-XX) 360 Operator theory (47-XX) 141 Difference and functional equations (39-XX) 114 Number theory (11-XX) 102 Numerical analysis (65-XX) 73 Linear and multilinear algebra; matrix theory (15-XX) 68 Dynamical systems and ergodic theory (37-XX) 55 Fluid mechanics (76-XX) 53 Functional analysis (46-XX) 48 Quantum theory (81-XX) 44 Special functions (33-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 38 Integral equations (45-XX) 38 Biology and other natural sciences (92-XX) 35 Associative rings and algebras (16-XX) 32 Global analysis, analysis on manifolds (58-XX) 27 Nonassociative rings and algebras (17-XX) 23 Real functions (26-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Functions of a complex variable (30-XX) 22 Systems theory; control (93-XX) 19 Differential geometry (53-XX) 18 Probability theory and stochastic processes (60-XX) 17 Combinatorics (05-XX) 17 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 13 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 10 History and biography (01-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Integral transforms, operational calculus (44-XX) 6 Commutative algebra (13-XX) 6 Information and communication theory, circuits (94-XX) 5 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Sequences, series, summability (40-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 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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