Edit Profile Swanson, Charles A. Compute Distance To: Compute Author ID: swanson.charles-a Published as: Swanson, C. A.; Swanson, Charles; Swanson, Charles A. Documents Indexed: 112 Publications since 1953, including 2 Books Reviewing Activity: 160 Reviews all top 5 Co-Authors 35 single-authored 40 Noussair, Ezzat S. 19 Kusano, Takaŝi 5 Kreith, Kurt 5 Naito, Manabu 5 Yang, Jianfu 3 Allegretto, Walter 3 Yu, Lao Sen 2 Headley, Velmer B. 2 Heywood, John G. 1 Clark, Colin W. 1 Erdélyi, Arthur 1 Hull, Thomas E. 1 Schulzer, M. 1 Trumpler, D. A. 1 Usami, Hiroyuki all top 5 Serials 9 Pacific Journal of Mathematics 8 Journal of Mathematical Analysis and Applications 8 Canadian Journal of Mathematics 8 Canadian Mathematical Bulletin 7 Journal of Differential Equations 7 Proceedings of the American Mathematical Society 7 Nonlinear Analysis. Theory, Methods & Applications 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 SIAM Journal on Mathematical Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Indiana University Mathematics Journal 3 Funkcialaj Ekvacioj. Serio Internacia 3 Hiroshima Mathematical Journal 3 Bulletin of the American Mathematical Society 2 Applicable Analysis 2 Japanese Journal of Mathematics. New Series 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Atti della Accademia Nazionale dei Lincei. Memorie. Classe di Scienze Fisiche, Matematiche e Naturali. Serie VIII. Sezione I (Matematica, Meccanica, Astronomia, Geodesia e Geofisica) 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Utilitas Mathematica 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Communications on Applied Nonlinear Analysis 1 Journal of Mathematics and Mechanics 1 Rendiconti di Matematica, VI. Serie 1 Proceedings and Transactions of the Royal Society of Canada, Section III, III. Ser all top 5 Fields 79 Partial differential equations (35-XX) 11 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 98 Publications have been cited 1,147 times in 816 Documents Cited by ▼ Year ▼ Comparison and oscillation theory of linear differential equations. Zbl 0191.09904Swanson, C. A. 289 1968 Positive solutions of quasilinear elliptic equations in exterior domains. Zbl 0452.35039Noussair, E. S.; Swanson, C. A. 59 1980 The best Sobolev constant. Zbl 0739.46026Swanson, Charles A. 48 1992 Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions. Zbl 1284.65102Fisher, Travis C.; Carpenter, Mark H.; Nordström, Jan; Yamaleev, Nail K.; Swanson, Charles 43 2013 Oscillation theory for semilinear Schrödinger equations and inequalities. Zbl 0372.35004Noussair, E. S.; Swanson, C. A. 39 1976 Entire positive solutions of singular semilinear elliptic equations. Zbl 0585.35034Kusano, Takaŝi; Swanson, Charles A. 37 1985 Quasilinear elliptic problems with critical exponents. Zbl 0785.35042Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 33 1993 Critical semilinear biharmonic equations in \(R^ N\). Zbl 0779.35044Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 30 1992 Oscillation of semilinear elliptic inequalities by Riccati transformations. Zbl 0395.35027Noussair, E. S.; Swanson, C. A. 25 1980 Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations. Zbl 1118.76046Nordström, Jan; Mattsson, Ken; Swanson, Charles 23 2007 Semilinear second order elliptic oscillation. Zbl 0412.35008Swanson, C. A. 21 1979 Picone’s identity. Zbl 0327.34028Swanson, Charles A. 17 1975 A comparison theorem for elliptic differential equations. Zbl 0144.14601Swanson, C. A. 15 1966 Comparison theorems for elliptic differential equations. Zbl 0134.09001Clark, Colin; Swanson, C. A. 15 1965 Radial entire solutions of even order semilinear elliptic equations. Zbl 0666.35029Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 14 1988 Positive solutions of semilinear elliptic problems in unbounded domains. Zbl 0583.35039Noussair, Ezzat S.; Swanson, Charles A. 14 1985 Positive finite energy solutions of critical semilinear elliptic problems. Zbl 0795.35033Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 13 1992 Oscillation criteria for elliptic equations. Zbl 0165.44304Headley, V. B.; Swanson, C. A. 13 1968 Radial entire solutions of a class of quasilinear elliptic equations. Zbl 0703.35060Kusano, Takaŝi; Swanson, Charles A. 12 1990 Asymptotic properties of semilinear elliptic equations. Zbl 0536.35024Kusano, Takaŝi; Swanson, Charles A. 12 1983 Bounded positive solutions of semilinear Schrödinger equations. Zbl 0492.35006Swanson, C. A. 12 1982 Global positive solutions of semilinear elliptic problems. Zbl 0555.35049Noussair, Ezzat S.; Swanson, Charles A. 11 1984 Oscillation of nonlinear vector differential equations. Zbl 0333.35004Noussair, E. S.; Swanson, C. A. 11 1976 Oscillation criteria for differential systems. Zbl 0222.34008Noussair, E. S.; Swanson, C. A. 11 1971 A barrier method for mean curvature problems. Zbl 0797.35055Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 10 1993 Decaying solutions of semilinear elliptic equations in \(R^ N\). Zbl 0696.35051Noussair, Ezzat S.; Swanson, Charles A. 10 1989 Criteria for oscillatory sublinear Schrödinger equations. Zbl 0469.35012Swanson, C. A. 10 1983 Oscillation theorems for vector differential equations. Zbl 0273.35005Noussair, E. S.; Swanson, C. A. 10 1972 A generalization of Sturm’s comparison theorem. Zbl 0144.36301Swanson, C. A. 10 1966 Asymptotic variational formulae for eigenvalues. Zbl 0111.29803Swanson, C. A. 10 1963 Transcritical biharmonic equations in \(\mathbb{R}^ N\). Zbl 0783.35017Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 9 1992 Solutions of Matukuma’s equation with finite total mass. Zbl 0687.35032Noussair, Ezzat S.; Swanson, Charles A. 9 1989 Critical \(p\)-Laplacian problems in \(\mathbf R^ N\). Zbl 0852.35044Swanson, Charles A.; Yu, Lao Sen 8 1995 Positive solutions of semilinear Schrödinger equations in exterior domains. Zbl 0397.35014Noussair, E. S.; Swanson, C. A. 8 1979 Wirtinger’s inequality. Zbl 0402.26005Swanson, C. A. 8 1978 A dichotomy of PDE Sturmian theory. Zbl 0377.35008Swanson, C. A. 8 1978 Comparison theorems for elliptic differential systems. Zbl 0177.14703Swanson, C. A. 8 1970 An identity for elliptic equations with applications. Zbl 0164.13103Swanson, C. A. 8 1968 Comparison theorems for elliptic equations on unbounded domains. Zbl 0152.11201Swanson, C. A. 8 1967 Positive \(L^ p(R^ N)\)-solutions of subcritical Emden-Fowler problems. Zbl 0673.35029Noussair, Ezzat S.; Swanson, Charles A. 7 1988 Global positive solutions of semilinear elliptic equations. Zbl 0522.35048Noussair, Ezzat S.; Swanson, Charles A. 7 1983 Oscillation criteria for nonlinear matrix differential inequalities. Zbl 0193.06101Swanson, C. A. 7 1970 An inequality for linear transformations with eigenvalues. Zbl 0102.32601Swanson, C. A. 7 1961 Positive solutions of elliptic systems with bounded nonlinearities. Zbl 0681.35035Noussair, Ezzat S.; Swanson, Charles A. 6 1988 Entire solutions of a class of even order quasilinear elliptic equations. Zbl 0674.35025Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 6 1987 Positive entire solutions of semilinear biharmonic equations. Zbl 0649.35032Kusano, Takaŝi; Swanson, Charles A. 6 1987 Radial entire solutions to even order semilinear elliptic equations in the plane. Zbl 0647.35030Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 6 1987 Existence theorems for generalized Klein-Gordon equations. Zbl 0524.35048Noussair, Ezzat S.; Swanson, Charles A. 6 1983 Comparison theorems for quasilinear elliptic differential inequalities. Zbl 0188.17201Swanson, C. A. 6 1970 An extension of Airy’s equation. Zbl 0161.27705Swanson, C. A.; Headley, V. B. 6 1967 Uniqueness for semilinear polyharmonic problems. Zbl 0840.35031Swanson, C. A. 5 1995 Positive decaying entire solutions of superlinear elliptic equations. Zbl 0616.35030Noussair, Ezzat S.; Swanson, Charles A. 5 1987 Decaying entire positive solutions of quasilinear elliptic equations. Zbl 0586.35043Kusano, Takaŝi; Swanson, Charles A. 5 1986 Asymptotic theory of singular semilinear elliptic equations. Zbl 0589.35046Kusano, Takasi; Swanson, Charles A. 5 1984 Comparison theorems for eigenvalues. Zbl 0278.35070Allegretto, W.; Swanson, C. A. 5 1974 Strong oscillation of elliptic equations in general domains. Zbl 0253.35026Swanson, C. A. 5 1973 Positive solutions of the prescribed mean curvature equation in \(\mathbb{R}^ N\). Zbl 0788.35043Noussair, Ezzat S.; Swanson, Charles A. 4 1993 Asymptotics for semilinear elliptic systems. Zbl 0762.35030Noussair, Ezzat S.; Swanson, Charles A. 4 1991 Pairs of positive solutions of quasilinear elliptic equations in exterior domains. Zbl 0584.35028Kusano, Takaŝi; Swanson, Charles A.; Usami, Hiroyuki 4 1985 Remarks on Picone’s identity and related identities. Zbl 0292.35032Swanson, Charles A. 4 1974 Sturm comparison theorems for elliptic inequalities. Zbl 0185.35002Allegretto, W.; Swanson, C. A. 4 1969 Existence theorems for elliptic Monge-Ampère equations in the plane. Zbl 0723.35030Kusano, Takaŝi; Swanson, Charles A. 3 1990 An \(L^ q({\mathbb{R}}^ N)\)-theory of subcritical semilinear elliptic problems. Zbl 0702.35086Noussair, Ezzat S.; Swanson, Charles A. 3 1990 Semilinear elliptic problems with pairs of decaying positive solutions. Zbl 0627.35030Noussair, Ezzat S.; Swanson, Charles A. 3 1987 Unbounded positive entire solutions of semilinear elliptic equations. Zbl 0631.35027Kusano, Takaŝi; Swanson, Charles A. 3 1986 Growth properties of stationary Klein-Gordon equations. Zbl 0587.35023Kusano, Takaŝi; Swanson, Charles A. 3 1985 Boundedness criteria for hyperbolic characteristic initial value problems. Zbl 0538.35054Kreith, K.; Swanson, C. A. 3 1983 Extremal positive solutions of semilinear Schrödinger equations. Zbl 0469.35021Swanson, C. A. 3 1983 Higher order Wirtinger inequalities. Zbl 0436.26008Kreith, Kurt; Swanson, Charles A. 3 1980 On the zeros of solutions of elliptic inequalities in bounded domains. Zbl 0369.35006Heywood, John G.; Noussair, E. S.; Swanson, C. A. 3 1978 Comparison theorems for elliptic and parabolic inequalities. Zbl 0273.35025Noussair, E. S.; Swanson, C. A. 3 1974 Oscillation criteria for elliptic systems. Zbl 0225.35044Allegretto, W.; Swanson, C. A. 3 1971 On spectral estimation. Zbl 0102.32602Swanson, C. A. 3 1962 Asymptotic estimates for limit circle problems. Zbl 0166.34602Swanson, C. A. 3 1961 Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602Erdélyi, Arthur; Swanson, C. A. 3 1957 Multiple finite energy states for critical potential systems. Zbl 0876.35035Noussair, Ezzat S.; Swanson, Charles A. 2 1996 Multiple finite energy solutions of critical semilinear field equations. Zbl 0865.35045Noussair, Ezzat S.; Swanson, Charles A. 2 1995 Radial polyharmonic problems in \(\mathbb{R}^ N\). Zbl 0799.35057Swanson, Charles A.; Yu, Lao Sen 2 1993 A general method for quasilinear elliptic problems in \(R^ N\). Zbl 0756.35025Kusano, Takaŝi; Swanson, Charles A. 2 1992 Properties of potential systems in \(\mathbb{R}{}^ N\). Zbl 0782.35011Noussair, Ezzat S.; Swanson, Charles A. 2 1992 Entire solutions of real and complex Monge-Ampère equations. Zbl 0838.35038Kusano, Takaŝi; Swanson, Charles A. 2 1991 Decaying entire solutions of quasilinear elliptic equations. Zbl 0684.35036Noussair, Ezzat S.; Swanson, Charles A. 2 1988 Asymptotic solutions of semilinear elliptic equations. Zbl 0536.35029Kreith, Kurt; Swanson, Charles A. 2 1984 Nonoscillation criteria for elliptic equations. Zbl 0179.43103Swanson, C. A. 2 1969 Asymptotic estimates for limit point problems. Zbl 0111.28201Swanson, C. A. 2 1963 Differential operators with perturbed domains. Zbl 0080.29604Swanson, C. A. 2 1957 Ground states for critical semilinear scalar field equations. Zbl 0737.35021Noussair, Ezzat S.; Swanson, Charles A. 1 1990 On the asymptotic behavior of solutions of nonlinear ordinary differential equations. Zbl 0698.34049Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 1 1988 Asymptotic properties of entire solutions of even order quasilinear elliptic equations. Zbl 0681.35033Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 1 1988 Positive solutions of \(-\Delta u=f(x,u)\). Zbl 0638.35032Swanson, Charles A. 1 1985 Kiguradze classes for characteristic initial value problems. Zbl 0607.35064Kreith, K.; Swanson, C. A. 1 1985 Global positive solutions of semilinear elliptic equations. Zbl 0505.34014Noussair, Ezzat S.; Swanson, Charles A. 1 1983 Conjugate points for nonlinear differential equations. Zbl 0373.34018Kreith, Kurt; Swanson, C. A. 1 1978 A domain perturbation problem for elliptic operators. Zbl 0363.35031Swanson, C. A. 1 1977 A comparison theorem for eigenfunctions. Zbl 0251.35024Swanson, C. A. 1 1973 Remarks on a comparison theorem of Kreith and Travis. Zbl 0235.35008Swanson, C. A. 1 1972 Domain perturbations of the biharmonic operator. Zbl 0148.10203Swanson, C. A. 1 1965 Asymptotic solutions of equations in Banach space. Zbl 0202.42802Swanson, C. A.; Schulzer, M. 1 1961 Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions. Zbl 1284.65102Fisher, Travis C.; Carpenter, Mark H.; Nordström, Jan; Yamaleev, Nail K.; Swanson, Charles 43 2013 Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations. Zbl 1118.76046Nordström, Jan; Mattsson, Ken; Swanson, Charles 23 2007 Multiple finite energy states for critical potential systems. Zbl 0876.35035Noussair, Ezzat S.; Swanson, Charles A. 2 1996 Critical \(p\)-Laplacian problems in \(\mathbf R^ N\). Zbl 0852.35044Swanson, Charles A.; Yu, Lao Sen 8 1995 Uniqueness for semilinear polyharmonic problems. Zbl 0840.35031Swanson, C. A. 5 1995 Multiple finite energy solutions of critical semilinear field equations. Zbl 0865.35045Noussair, Ezzat S.; Swanson, Charles A. 2 1995 Quasilinear elliptic problems with critical exponents. Zbl 0785.35042Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 33 1993 A barrier method for mean curvature problems. Zbl 0797.35055Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 10 1993 Positive solutions of the prescribed mean curvature equation in \(\mathbb{R}^ N\). Zbl 0788.35043Noussair, Ezzat S.; Swanson, Charles A. 4 1993 Radial polyharmonic problems in \(\mathbb{R}^ N\). Zbl 0799.35057Swanson, Charles A.; Yu, Lao Sen 2 1993 The best Sobolev constant. Zbl 0739.46026Swanson, Charles A. 48 1992 Critical semilinear biharmonic equations in \(R^ N\). Zbl 0779.35044Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 30 1992 Positive finite energy solutions of critical semilinear elliptic problems. Zbl 0795.35033Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 13 1992 Transcritical biharmonic equations in \(\mathbb{R}^ N\). Zbl 0783.35017Noussair, Ezzat S.; Swanson, Charles A.; Yang, Jianfu 9 1992 A general method for quasilinear elliptic problems in \(R^ N\). Zbl 0756.35025Kusano, Takaŝi; Swanson, Charles A. 2 1992 Properties of potential systems in \(\mathbb{R}{}^ N\). Zbl 0782.35011Noussair, Ezzat S.; Swanson, Charles A. 2 1992 Asymptotics for semilinear elliptic systems. Zbl 0762.35030Noussair, Ezzat S.; Swanson, Charles A. 4 1991 Entire solutions of real and complex Monge-Ampère equations. Zbl 0838.35038Kusano, Takaŝi; Swanson, Charles A. 2 1991 Radial entire solutions of a class of quasilinear elliptic equations. Zbl 0703.35060Kusano, Takaŝi; Swanson, Charles A. 12 1990 Existence theorems for elliptic Monge-Ampère equations in the plane. Zbl 0723.35030Kusano, Takaŝi; Swanson, Charles A. 3 1990 An \(L^ q({\mathbb{R}}^ N)\)-theory of subcritical semilinear elliptic problems. Zbl 0702.35086Noussair, Ezzat S.; Swanson, Charles A. 3 1990 Ground states for critical semilinear scalar field equations. Zbl 0737.35021Noussair, Ezzat S.; Swanson, Charles A. 1 1990 Decaying solutions of semilinear elliptic equations in \(R^ N\). Zbl 0696.35051Noussair, Ezzat S.; Swanson, Charles A. 10 1989 Solutions of Matukuma’s equation with finite total mass. Zbl 0687.35032Noussair, Ezzat S.; Swanson, Charles A. 9 1989 Radial entire solutions of even order semilinear elliptic equations. Zbl 0666.35029Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 14 1988 Positive \(L^ p(R^ N)\)-solutions of subcritical Emden-Fowler problems. Zbl 0673.35029Noussair, Ezzat S.; Swanson, Charles A. 7 1988 Positive solutions of elliptic systems with bounded nonlinearities. Zbl 0681.35035Noussair, Ezzat S.; Swanson, Charles A. 6 1988 Decaying entire solutions of quasilinear elliptic equations. Zbl 0684.35036Noussair, Ezzat S.; Swanson, Charles A. 2 1988 On the asymptotic behavior of solutions of nonlinear ordinary differential equations. Zbl 0698.34049Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 1 1988 Asymptotic properties of entire solutions of even order quasilinear elliptic equations. Zbl 0681.35033Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 1 1988 Entire solutions of a class of even order quasilinear elliptic equations. Zbl 0674.35025Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 6 1987 Positive entire solutions of semilinear biharmonic equations. Zbl 0649.35032Kusano, Takaŝi; Swanson, Charles A. 6 1987 Radial entire solutions to even order semilinear elliptic equations in the plane. Zbl 0647.35030Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A. 6 1987 Positive decaying entire solutions of superlinear elliptic equations. Zbl 0616.35030Noussair, Ezzat S.; Swanson, Charles A. 5 1987 Semilinear elliptic problems with pairs of decaying positive solutions. Zbl 0627.35030Noussair, Ezzat S.; Swanson, Charles A. 3 1987 Decaying entire positive solutions of quasilinear elliptic equations. Zbl 0586.35043Kusano, Takaŝi; Swanson, Charles A. 5 1986 Unbounded positive entire solutions of semilinear elliptic equations. Zbl 0631.35027Kusano, Takaŝi; Swanson, Charles A. 3 1986 Entire positive solutions of singular semilinear elliptic equations. Zbl 0585.35034Kusano, Takaŝi; Swanson, Charles A. 37 1985 Positive solutions of semilinear elliptic problems in unbounded domains. Zbl 0583.35039Noussair, Ezzat S.; Swanson, Charles A. 14 1985 Pairs of positive solutions of quasilinear elliptic equations in exterior domains. Zbl 0584.35028Kusano, Takaŝi; Swanson, Charles A.; Usami, Hiroyuki 4 1985 Growth properties of stationary Klein-Gordon equations. Zbl 0587.35023Kusano, Takaŝi; Swanson, Charles A. 3 1985 Positive solutions of \(-\Delta u=f(x,u)\). Zbl 0638.35032Swanson, Charles A. 1 1985 Kiguradze classes for characteristic initial value problems. Zbl 0607.35064Kreith, K.; Swanson, C. A. 1 1985 Global positive solutions of semilinear elliptic problems. Zbl 0555.35049Noussair, Ezzat S.; Swanson, Charles A. 11 1984 Asymptotic theory of singular semilinear elliptic equations. Zbl 0589.35046Kusano, Takasi; Swanson, Charles A. 5 1984 Asymptotic solutions of semilinear elliptic equations. Zbl 0536.35029Kreith, Kurt; Swanson, Charles A. 2 1984 Asymptotic properties of semilinear elliptic equations. Zbl 0536.35024Kusano, Takaŝi; Swanson, Charles A. 12 1983 Criteria for oscillatory sublinear Schrödinger equations. Zbl 0469.35012Swanson, C. A. 10 1983 Global positive solutions of semilinear elliptic equations. Zbl 0522.35048Noussair, Ezzat S.; Swanson, Charles A. 7 1983 Existence theorems for generalized Klein-Gordon equations. Zbl 0524.35048Noussair, Ezzat S.; Swanson, Charles A. 6 1983 Boundedness criteria for hyperbolic characteristic initial value problems. Zbl 0538.35054Kreith, K.; Swanson, C. A. 3 1983 Extremal positive solutions of semilinear Schrödinger equations. Zbl 0469.35021Swanson, C. A. 3 1983 Global positive solutions of semilinear elliptic equations. Zbl 0505.34014Noussair, Ezzat S.; Swanson, Charles A. 1 1983 Bounded positive solutions of semilinear Schrödinger equations. Zbl 0492.35006Swanson, C. A. 12 1982 Positive solutions of quasilinear elliptic equations in exterior domains. Zbl 0452.35039Noussair, E. S.; Swanson, C. A. 59 1980 Oscillation of semilinear elliptic inequalities by Riccati transformations. Zbl 0395.35027Noussair, E. S.; Swanson, C. A. 25 1980 Higher order Wirtinger inequalities. Zbl 0436.26008Kreith, Kurt; Swanson, Charles A. 3 1980 Semilinear second order elliptic oscillation. Zbl 0412.35008Swanson, C. A. 21 1979 Positive solutions of semilinear Schrödinger equations in exterior domains. Zbl 0397.35014Noussair, E. S.; Swanson, C. A. 8 1979 Wirtinger’s inequality. Zbl 0402.26005Swanson, C. A. 8 1978 A dichotomy of PDE Sturmian theory. Zbl 0377.35008Swanson, C. A. 8 1978 On the zeros of solutions of elliptic inequalities in bounded domains. Zbl 0369.35006Heywood, John G.; Noussair, E. S.; Swanson, C. A. 3 1978 Conjugate points for nonlinear differential equations. Zbl 0373.34018Kreith, Kurt; Swanson, C. A. 1 1978 A domain perturbation problem for elliptic operators. Zbl 0363.35031Swanson, C. A. 1 1977 Oscillation theory for semilinear Schrödinger equations and inequalities. Zbl 0372.35004Noussair, E. S.; Swanson, C. A. 39 1976 Oscillation of nonlinear vector differential equations. Zbl 0333.35004Noussair, E. S.; Swanson, C. A. 11 1976 Picone’s identity. Zbl 0327.34028Swanson, Charles A. 17 1975 Comparison theorems for eigenvalues. Zbl 0278.35070Allegretto, W.; Swanson, C. A. 5 1974 Remarks on Picone’s identity and related identities. Zbl 0292.35032Swanson, Charles A. 4 1974 Comparison theorems for elliptic and parabolic inequalities. Zbl 0273.35025Noussair, E. S.; Swanson, C. A. 3 1974 Strong oscillation of elliptic equations in general domains. Zbl 0253.35026Swanson, C. A. 5 1973 A comparison theorem for eigenfunctions. Zbl 0251.35024Swanson, C. A. 1 1973 Oscillation theorems for vector differential equations. Zbl 0273.35005Noussair, E. S.; Swanson, C. A. 10 1972 Remarks on a comparison theorem of Kreith and Travis. Zbl 0235.35008Swanson, C. A. 1 1972 Oscillation criteria for differential systems. Zbl 0222.34008Noussair, E. S.; Swanson, C. A. 11 1971 Oscillation criteria for elliptic systems. Zbl 0225.35044Allegretto, W.; Swanson, C. A. 3 1971 Comparison theorems for elliptic differential systems. Zbl 0177.14703Swanson, C. A. 8 1970 Oscillation criteria for nonlinear matrix differential inequalities. Zbl 0193.06101Swanson, C. A. 7 1970 Comparison theorems for quasilinear elliptic differential inequalities. Zbl 0188.17201Swanson, C. A. 6 1970 Sturm comparison theorems for elliptic inequalities. Zbl 0185.35002Allegretto, W.; Swanson, C. A. 4 1969 Nonoscillation criteria for elliptic equations. Zbl 0179.43103Swanson, C. A. 2 1969 Comparison and oscillation theory of linear differential equations. Zbl 0191.09904Swanson, C. A. 289 1968 Oscillation criteria for elliptic equations. Zbl 0165.44304Headley, V. B.; Swanson, C. A. 13 1968 An identity for elliptic equations with applications. Zbl 0164.13103Swanson, C. A. 8 1968 Comparison theorems for elliptic equations on unbounded domains. Zbl 0152.11201Swanson, C. A. 8 1967 An extension of Airy’s equation. Zbl 0161.27705Swanson, C. A.; Headley, V. B. 6 1967 A comparison theorem for elliptic differential equations. Zbl 0144.14601Swanson, C. A. 15 1966 A generalization of Sturm’s comparison theorem. Zbl 0144.36301Swanson, C. A. 10 1966 Comparison theorems for elliptic differential equations. Zbl 0134.09001Clark, Colin; Swanson, C. A. 15 1965 Domain perturbations of the biharmonic operator. Zbl 0148.10203Swanson, C. A. 1 1965 Asymptotic variational formulae for eigenvalues. Zbl 0111.29803Swanson, C. A. 10 1963 Asymptotic estimates for limit point problems. Zbl 0111.28201Swanson, C. A. 2 1963 On spectral estimation. Zbl 0102.32602Swanson, C. A. 3 1962 An inequality for linear transformations with eigenvalues. Zbl 0102.32601Swanson, C. A. 7 1961 Asymptotic estimates for limit circle problems. Zbl 0166.34602Swanson, C. A. 3 1961 Asymptotic solutions of equations in Banach space. Zbl 0202.42802Swanson, C. A.; Schulzer, M. 1 1961 Asymptotic forms of Whittaker’s confluent hypergeometric functions. Zbl 0127.29602Erdélyi, Arthur; Swanson, C. A. 3 1957 Differential operators with perturbed domains. Zbl 0080.29604Swanson, C. A. 2 1957 all cited Publications top 5 cited Publications all top 5 Cited by 791 Authors 43 Swanson, Charles A. 23 Noussair, Ezzat S. 20 Sugie, Jitsuro 17 Kusano, Takaŝi 17 Xu, Zhiting 15 Kreith, Kurt 15 Miyagaki, Olimpio Hiroshi 12 Yoshida, Norio 11 Allegretto, Walter 11 Carpenter, Mark H. 11 Nordström, Jan 11 Yamaoka, Naoto 10 Gassner, Gregor J. 10 Tiryaki, Aydin 10 Winters, Andrew R. 10 Yeh, Cheh-Chih 9 Alves, Claudianor Oliveira 9 Došlý, Ondřej 9 Erbe, Lynn Harry 9 Marini, Mauro 9 Orpel, Aleksandra 8 Carrião, Paulo Cesar 8 Del Rey Fernández, David C. 8 Headley, Velmer B. 7 Agarwal, Ravi P. 7 Cecchi, Mariella 7 Mattsson, Ken 7 Usami, Hiroyuki 6 Chen, Caisheng 6 Deng, Jiqin 6 Deng, Yinbin 6 Furusho, Yasuhiro 6 Naito, Manabu 6 Parhi, Narahari 6 Pašić, Mervan 6 Rigoli, Marco 6 Zafer, Ağacık 5 Do Ó, João M. Bezerra 5 Došlá, Zuzana 5 Gazzola, Filippo 5 Jaroš, Jaroslav 5 Lewis, Roger T. 5 Müller-Pfeiffer, Erich 5 Mustafa, Octavian G. 5 Neuman, František 5 Özbekler, Abdullah 5 Ranocha, Hendrik 5 Tang, Xianhua 5 Wang, Zhi-Qiang 5 Yang, Jianfu 5 Yang, Zuodong 4 Butler, Geoffrey J. 4 Cheng, Sui Sun 4 Constantin, Adrian 4 Etgen, Garret J. 4 Abreu Goncalves, Jose Valdo 4 Grunau, Hans-Christoph 4 Hicken, Jason E. 4 Ishibashi, Kazuki 4 Kopriva, David Alan 4 Kulenović, Mustafa R. S. 4 Li, Horng-Jaan 4 Li, Yi 4 Nehari, Zeev 4 Oganesyan, Gro R. 4 Omari, Pierpaolo 4 Řehák, Pavel 4 Rogovchenko, Yuri V. 4 Su, Jiabao 4 Takaŝi, Kusano 4 Trench, William F. 4 Wei, Juncheng 4 Wong, Pui-Kei 4 Yin, Zhaoyang 4 Zingg, David W. 3 Ahmad, Shair 3 Aktaş, Mustafa Fahri 3 Almquist, Martin 3 Assunção, Ronaldo Brasileiro 3 Bianchini, Bruno 3 Breuer, Shlomo 3 Bugir, M. K. 3 Cingolani, Silvia 3 Djebali, Smail 3 Edelson, Allan L. 3 Ehrnström, Mats 3 Ge, Yuxin 3 Gottlieb, David I. 3 Graef, John R. 3 Guo, Yuxia 3 Habets, Patrick 3 Han, Maoan 3 Kratz, Werner 3 Kwong, Man Kam 3 Li, Weinian 3 Mari, Luciano 3 Mařík, Robert 3 Mohammed, Ahmed 3 Öffner, Philipp 3 O’Regan, Donal ...and 691 more Authors all top 5 Cited in 142 Serials 115 Journal of Mathematical Analysis and Applications 62 Journal of Differential Equations 62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Proceedings of the American Mathematical Society 35 Journal of Computational Physics 35 Nonlinear Analysis. Theory, Methods & Applications 27 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Applied Mathematics and Computation 20 Applied Mathematics Letters 16 Transactions of the American Mathematical Society 15 Rocky Mountain Journal of Mathematics 14 Applicable Analysis 14 Czechoslovak Mathematical Journal 14 Journal of Scientific Computing 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Mathematische Nachrichten 9 Archive for Rational Mechanics and Analysis 9 Journal of Computational and Applied Mathematics 9 Mathematical and Computer Modelling 9 Calculus of Variations and Partial Differential Equations 8 Computers & Mathematics with Applications 8 Mathematica Slovaca 7 Monatshefte für Mathematik 7 Acta Mathematica Sinica. English Series 7 Boundary Value Problems 6 Ukrainian Mathematical Journal 6 Journal of Functional Analysis 6 Discrete and Continuous Dynamical Systems 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Abstract and Applied Analysis 5 Communications on Pure and Applied Analysis 5 Advances in Difference Equations 5 Complex Variables and Elliptic Equations 4 Bulletin of the Australian Mathematical Society 4 Journal d’Analyse Mathématique 4 Mathematical Notes 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Results in Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Electronic Journal of Differential Equations (EJDE) 4 Communications in Contemporary Mathematics 4 Bulletin of the American Mathematical Society 3 Computers and Fluids 3 Mathematical Methods in the Applied Sciences 3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 3 Advances in Mathematics 3 Glasgow Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematicae Applicatae Sinica. English Series 3 Differential Equations 3 Advanced Nonlinear Studies 3 Mediterranean Journal of Mathematics 2 General Relativity and Gravitation 2 International Journal of Heat and Mass Transfer 2 Journal of Fluid Mechanics 2 Mathematics of Computation 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Siberian Mathematical Journal 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Aequationes Mathematicae 2 Communications in Partial Differential Equations 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. New Series 2 Russian Mathematics 2 Georgian Mathematical Journal 2 Journal of Inequalities and Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Matematický Časopis, Slovenskej Akadémie Vied 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Archive for History of Exact Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 The Annals of Probability 1 BIT 1 Compositio Mathematica 1 Hiroshima Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematics and Computers in Simulation 1 Mathematika 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae ...and 42 more Serials all top 5 Cited in 37 Fields 446 Partial differential equations (35-XX) 304 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 46 Operator theory (47-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Fluid mechanics (76-XX) 21 Real functions (26-XX) 21 Differential geometry (53-XX) 19 Potential theory (31-XX) 19 Functional analysis (46-XX) 17 Difference and functional equations (39-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 9 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year