Edit Profile (opens in new tab) Loud, Warren S. Co-Author Distance Author ID: loud.warren-s Published as: Loud, W. S.; Loud, Warren S. Documents Indexed: 41 Publications since 1949, including 2 Books Co-Authors: 3 Co-Authors with 3 Joint Publications 44 Co-Co-Authors Co-Authors 38 single-authored 1 Blair, K. W. 1 Sethna, P. R. 1 Vanderbauwhede, Andre L. all top 5 Serials 6 Journal of Differential Equations 3 American Mathematical Monthly 3 Proceedings of the American Mathematical Society 3 Journal of Mathematics and Physics 2 International Journal of Non-Linear Mechanics 2 Duke Mathematical Journal 2 Memoirs of the American Mathematical Society 1 Ingenieur-Archiv 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Annals of Mathematics. Second Series 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics Fields 15 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 345 times in 319 Documents Cited by ▼ Year ▼ Behavior of the period of solutions of certain plane autonomous systems near centers. Zbl 0139.04301 Loud, W. S. 142 1964 Periodic solutions of nonlinear differential equations of Duffing type. Zbl 0162.12302 Loud, W. S. 29 1967 Boundedness and convergence of solutions of \(x'' + cx' + g(x) = e(t)\). Zbl 0077.09002 Loud, W. S. 28 1957 Periodic solutions of \(x''+cx'+g(x)=\varepsilon f(t)\). Zbl 0085.30701 Loud, W. S. 26 1959 Periodic solutions of a perturbed autonomous system. Zbl 0091.26701 Loud, W. S. 24 1959 Some examples of generalized Green’s functions and generalized Green’s matrices. Zbl 0196.16001 Loud, W. S. 15 1970 Periodic solutions of perturbed second-order autonomous equations. Zbl 0128.31802 Loud, W. S. 12 1964 Stability regions for Hill’s equation. Zbl 0319.34047 Loud, W. S. 11 1975 On periodic solutions of Duffing’s equation with damping. Zbl 0067.06702 Loud, W. S. 9 1955 Generalized inverses and generalized Green’s functions. Zbl 0142.00303 Loud, W. S. 8 1966 Self-adjoint multipoint boundary value problems. Zbl 0176.05101 Loud, W. S. 7 1968 Some singular cases of the implicit function theorem. Zbl 0118.05502 Loud, W. S. 5 1961 On the long-run error in the numerical solution of certain differential equations. Zbl 0033.37902 Loud, Warren S. 3 1949 Subharmonic solutions of second order equations arising near harmonic solutions. Zbl 0227.34034 Loud, W. S. 3 1972 Branching phenomena for periodic solutions of non-autonomous piecewise linear systems. Zbl 0177.35203 Loud, W. S. 3 1968 Periodic solutions of \(x'' + cx' + g(x) = Ef(t)\) under variation of certain parameters. Zbl 0101.06904 Blair, K. W.; Loud, W. S. 3 1960 Subharmonic solutions of second-order equations arising near harmonic solutions. Zbl 0577.34040 Loud, W. S. 2 1984 Branching of solutions of two-parameter boundary-value problems for second order differential equations. Zbl 0339.34016 Loud, W. S. 2 1976 Nonsymmetric periodic solutions of certain second order nonlinear differential equations. Zbl 0169.42202 Loud, W. S. 2 1969 Some growth theorems for linear ordinary differential equations. Zbl 0078.27201 Loud, W. S. 2 1957 Some explicit estimates for domains of attraction. Zbl 0149.30201 Loud, W. S.; Sethna, P. R. 2 1966 A bifurcation application of the generalized inverse of a linear differential operator. Zbl 0448.47023 Loud, W. S. 2 1980 Functions with prescribed Lipschitz condition. Zbl 0043.05504 Loud, W. S. 1 1951 Phase shift and locking-in regions. Zbl 0153.26803 Loud, W. S. 1 1967 An eigenvalue problem related to stability questions in perturbed autonomous systems. Zbl 0102.07902 Loud, W. S. 1 1962 The location of the invariant manifold for a perturbed autonomous system. Zbl 0105.29303 Loud, W. S. 1 1961 Branching phenomena for nonlinear boundary-value problems. Zbl 0503.34015 Loud, W. S. 1 1981 Subharmonic solutions of second-order equations arising near harmonic solutions. Zbl 0577.34040 Loud, W. S. 2 1984 Branching phenomena for nonlinear boundary-value problems. Zbl 0503.34015 Loud, W. S. 1 1981 A bifurcation application of the generalized inverse of a linear differential operator. Zbl 0448.47023 Loud, W. S. 2 1980 Branching of solutions of two-parameter boundary-value problems for second order differential equations. Zbl 0339.34016 Loud, W. S. 2 1976 Stability regions for Hill’s equation. Zbl 0319.34047 Loud, W. S. 11 1975 Subharmonic solutions of second order equations arising near harmonic solutions. Zbl 0227.34034 Loud, W. S. 3 1972 Some examples of generalized Green’s functions and generalized Green’s matrices. Zbl 0196.16001 Loud, W. S. 15 1970 Nonsymmetric periodic solutions of certain second order nonlinear differential equations. Zbl 0169.42202 Loud, W. S. 2 1969 Self-adjoint multipoint boundary value problems. Zbl 0176.05101 Loud, W. S. 7 1968 Branching phenomena for periodic solutions of non-autonomous piecewise linear systems. Zbl 0177.35203 Loud, W. S. 3 1968 Periodic solutions of nonlinear differential equations of Duffing type. Zbl 0162.12302 Loud, W. S. 29 1967 Phase shift and locking-in regions. Zbl 0153.26803 Loud, W. S. 1 1967 Generalized inverses and generalized Green’s functions. Zbl 0142.00303 Loud, W. S. 8 1966 Some explicit estimates for domains of attraction. Zbl 0149.30201 Loud, W. S.; Sethna, P. R. 2 1966 Behavior of the period of solutions of certain plane autonomous systems near centers. Zbl 0139.04301 Loud, W. S. 142 1964 Periodic solutions of perturbed second-order autonomous equations. Zbl 0128.31802 Loud, W. S. 12 1964 An eigenvalue problem related to stability questions in perturbed autonomous systems. Zbl 0102.07902 Loud, W. S. 1 1962 Some singular cases of the implicit function theorem. Zbl 0118.05502 Loud, W. S. 5 1961 The location of the invariant manifold for a perturbed autonomous system. Zbl 0105.29303 Loud, W. S. 1 1961 Periodic solutions of \(x'' + cx' + g(x) = Ef(t)\) under variation of certain parameters. Zbl 0101.06904 Blair, K. W.; Loud, W. S. 3 1960 Periodic solutions of \(x''+cx'+g(x)=\varepsilon f(t)\). Zbl 0085.30701 Loud, W. S. 26 1959 Periodic solutions of a perturbed autonomous system. Zbl 0091.26701 Loud, W. S. 24 1959 Boundedness and convergence of solutions of \(x'' + cx' + g(x) = e(t)\). Zbl 0077.09002 Loud, W. S. 28 1957 Some growth theorems for linear ordinary differential equations. Zbl 0078.27201 Loud, W. S. 2 1957 On periodic solutions of Duffing’s equation with damping. Zbl 0067.06702 Loud, W. S. 9 1955 Functions with prescribed Lipschitz condition. Zbl 0043.05504 Loud, W. S. 1 1951 On the long-run error in the numerical solution of certain differential equations. Zbl 0033.37902 Loud, Warren S. 3 1949 all cited Publications top 5 cited Publications all top 5 Cited by 371 Authors 21 Llibre, Jaume 12 Romanovskiĭ, Valeriĭ Georgievich 11 Villadelprat, Jordi 10 Wu, Yusen 9 Giné, Jaume 8 Liu, Yirong 7 Chen, Xingwu 7 Freire Macías, Emilio 7 Gasull, Armengol 7 Guillamon, Antoni 7 Huang, Wentao 6 Binding, Paul Anthony 6 Haraux, Alain 6 Herron, Isom H. jun. 6 Kamenskiĭ, Mikhaĭl Igor’evich 6 Zhang, Weinian 5 Browne, Patrick J. 5 Fernandes, Wilker 5 García, Isaac A. 5 Han, Maoan 5 Lazer, Alan C. 5 Loud, Warren S. 5 Makarenkov, Oleg Yuryĭovych 5 Mañosas, Francesc 5 Torregrosa, Joan 5 Zanolin, Fabio 4 Chavarriga, Javier 4 Chicone, Carmen C. 4 Du, Chaoxiong 4 Fonda, Alessandro 4 Li, Feng 4 Nakajima, Fumio 4 Nistri, Paolo 4 Nuñez, Daniel E. 4 Oliveira, Regilene D. S. 4 Qian, Dingbian 4 Rojas, David 4 Valls Anglés, Cláudia 4 Wang, Qinlong 4 Zhang, Cui 3 Adeyanju, Adetunji Adedotun 3 Buică, Adriana 3 Cen, Xiuli 3 Freedman, Herbert Irving 3 Ghisi, Marina 3 Gobbino, Massimo 3 Liu, Changjian 3 Mawhin, Jean 3 McKenna, Patrick Joseph 3 Mereu, Ana Cristina 3 Obi, Chike 3 Rivera, Andrés M. 3 Xiong, Yanqin 3 Yang, Jihua 2 Ahmad, Shair 2 Algaba, Antonio 2 Capietto, Anna 2 Carmona, Victoriano 2 Chouikha, Abd Raouf 2 da Cruz, Leonardo Pereira Costa 2 Dong, Guangfeng 2 Fernández-García, Soledad 2 Ghermoul, Bilal 2 Huang, Bo 2 Itikawa, Jackson 2 Jacobs, Marc Q. 2 Jarque, Xavier 2 Ke, Ai 2 Leach, D. E. 2 Li, Chengzhi 2 Li, Na 2 Li, Peiluan 2 Liang, Shuqing 2 Liu, Chunlian 2 Liu, Luju 2 Liu, Yuji 2 Lloyd, Noel Glynne 2 Marciniak-Czochra, Anna K. 2 Mi, Heilong 2 Mikhailenko, B. A. 2 Mikhaylenko, Boris 2 Miranda Martins, Ricardo 2 Omeike, Mathew Omonigho 2 Ortega, Rafael 2 Pearson, Jane Margaret 2 Ponce, Enrique 2 Recke, Lutz 2 Reyes, Manuel 2 Salhi, Tayeb 2 Seifert, George 2 Shiraiwa, Kenichi 2 Smith, Russell A. 2 Swick, Kenneth E. 2 Tang, Yilei 2 Tian, Yun 2 Toni, Bourama 2 Torres Peral, Francisco 2 Torres Villarroya, Pedro José 2 Vanderbauwhede, Andre L. 2 Wanner, Gerhard ...and 271 more Authors all top 5 Cited in 111 Serials 46 Journal of Differential Equations 31 Journal of Mathematical Analysis and Applications 11 Qualitative Theory of Dynamical Systems 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Bulletin des Sciences Mathématiques 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Nonlinear Analysis. Theory, Methods & Applications 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Proceedings of the American Mathematical Society 6 Computers & Mathematics with Applications 6 Transactions of the American Mathematical Society 5 Journal of Computational and Applied Mathematics 5 Discrete and Continuous Dynamical Systems 5 Abstract and Applied Analysis 4 Applied Mathematics and Computation 4 Journal of Dynamics and Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Nonlinear Analysis. Real World Applications 3 Mathematical Methods in the Applied Sciences 3 Results in Mathematics 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Boundary Value Problems 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Mathematical Biosciences 2 Ukrainian Mathematical Journal 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Nagoya Mathematical Journal 2 Acta Mathematica Hungarica 2 Journal of the Nigerian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Symbolic Computation 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Nonlinear Dynamics 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Journal of Applied Mathematics 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Ingenieur-Archiv 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 BIT 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Mathematical Economics 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Meccanica 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Acta Mathematica Sinica. New Series 1 Topological Methods in Nonlinear Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Journal of Vibration and Control 1 Differential Equations and Dynamical Systems 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Regular and Chaotic Dynamics 1 Differential Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Journal of Applied Mathematics and Computing 1 Milan Journal of Mathematics ...and 11 more Serials all top 5 Cited in 26 Fields 264 Ordinary differential equations (34-XX) 67 Dynamical systems and ergodic theory (37-XX) 32 Operator theory (47-XX) 20 Mechanics of particles and systems (70-XX) 15 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 7 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year