A General Cooperation Theorem for Hypercycles.
Displaying 21 – 40 of 2544
A general theorem concerning the growth of solutions of first-order algebraic differential equations
Steven B. Bank (1972)
Compositio Mathematica
A geometric analysis of a singular ODE related to the study of a quasilinear PDE.
Tuomela, Jukka (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A gradient inequality at infinity for tame functions.
Didier D'Acunto, Vincent Grandjean (2005)
Revista Matemática Complutense
Let f be a C1 function defined over Rn and definable in a given o-minimal structure M expanding the real field. We prove here a gradient-like inequality at infinity in a neighborhood of an asymptotic critical value c. When f is C2 we use this inequality to discuss the trivialization by the gradient flow of f in a neighborhood of a regular asymptotic critical level.
A Hille-Wintner comparison theorem for second order differential systems
Garret J. Etgen, Roger T. Lewis (1980)
Czechoslovak Mathematical Journal
A Leighton-Borůvka formula for Morse conjugate points
Heinrich W. Guggenheimer (1985)
Archivum Mathematicum
A linearization method in oscillation theory of half-linear second-order differential equations.
Došlý, Ondřej, Peña, Simón (2005)
Journal of Inequalities and Applications [electronic only]
A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations.
Van Minh, Nguyen, Minh, Ha Binh (2004)
Abstract and Applied Analysis
A mean value property for pairs of integrals.
Mingarelli, A.B., Pacheco, J.M., Plaza, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.
Jorba, Àngel (1999)
Experimental Mathematics
A min-max theorem and its applications to nonconservative systems.
Weiguo, Li, Hongjie, Li (2003)
International Journal of Mathematics and Mathematical Sciences
A modification and comparison of Filippov and Viktorovskij generalized solutions
Jaroslav Pelant (1979)
Czechoslovak Mathematical Journal
A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
Miroslav Laitoch (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
A modified van der Pol equation with delay in a description of the heart action
Beata Zduniak, Marek Bodnar, Urszula Foryś (2014)
International Journal of Applied Mathematics and Computer Science
In this paper, a modified van der Pol equation is considered as a description of the heart action. This model has a number of interesting properties allowing reconstruction of phenomena observed in physiological experiments as well as in Holter electrocardiographic recordings. Our aim is to study periodic solutions of the modified van der Pol equation and take into consideration the influence of feedback and delay which occur in the normal heart action mode as well as in pathological modes. Usage...
A multiplicity result for periodic solutions to higher-order ordinary differential equations via the method of upper and lower solutions.
Lee, Yong-Hoon (1998)
Journal of Inequalities and Applications [electronic only]
A Nearly-Periodic Boundary Value Problem for Second Order Differential Equations
G. L. Karakostas, P. K. Palamides (2002)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
A new look at an old comparison theorem
Jaroslav Jaroš (2021)
Archivum Mathematicum
We present an integral comparison theorem which guarantees the global existence of a solution of the generalized Riccati equation on the given interval when it is known that certain majorant Riccati equation has a global solution on .
A new oscillation criterion for forced second-order quasilinear differential equations.
Jing, Shao (2011)
Discrete Dynamics in Nature and Society
A new proof of multisummability of formal solutions of non linear meromorphic differential equations
Jean-Pierre Ramis, Yasutaka Sibuya (1994)
Annales de l'institut Fourier
We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equationthe idea of our proof is to interpret a formal power series solution...
A nonlinear periodic system with nonsmooth potential of indefinite sign
Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)
Archivum Mathematicum
In this paper we consider a nonlinear periodic system driven by the vector ordinary -Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.