Results 31 to 40 of about 13,711 (154)
Multibump solutions for an almost periodically forced singular Hamiltonian system
Electronic Journal of Differential Equations, 1995 existence of so-called multibump homoclinic solutions for a family of singular Hamiltonian systems in $R^2$ which are subjected to almost periodic forcing in time.
Paul H. Rabinowitz
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Existence and multiplicity results for homoclinic orbits of Hamiltonian systems
Electronic Journal of Differential Equations, 1997 Homoclinic orbits play an important role in the study of qualitative behavior of dynamical systems. Such kinds of orbits have been studied since the time of Poincare.
Chao-Nien Chen, Shyuh-Yaur Tzeng
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Periodic Solutions for a Class of 2n-Order Ordinary Differential Equations
MathematicsPeriodic solutions of high-order nonlinear differential equations are fundamental in dynamical systems, yet they remain challenging to establish with traditional methods.
Wenjin Li, Jiaxuan Sun, Yanni Pang
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Variational and penalization methods for studying connecting orbits of Hamiltonian systems
Electronic Journal of Differential Equations, 2000 In this article, we consider a class of second order Hamiltonian systems that possess infinite or finite number of equilibria. Variational arguments will be used to study the existence of connecting orbits joining pairs of equilibria.
Chao-Nien Chen, Shyuh-yaur Tzeng
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The classical theory of calculus of variations for generalized functions
Advances in Nonlinear Analysis, 2017 We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Schwartz distributions, while sharing many nonlinear properties with ...
Lecke Alexander +2 more
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Euler-Lagrange equation for a delay variational problem
Nonautonomous Dynamical Systems, 2017 We establish Euler-Lagrange equations for a problem of Calculus of Variations where the unknown variable contains a term of delay on a ...
Blot Joël, Koné Mamadou I.
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NVIS HF signal propagation in ionosphere using calculus of variations
Geodesy and Geodynamics, 2019 Modeling Near Vertical Incidence Sounding (NVIS) High Frequency (HF) signal propagation in the ionosphere is important. Because, ionosondes which are special types of radars probing the ionosphere with certain HF frequencies (between 2 and 30 MHz), work ...
Umut Sezen, Feza Arikan, Orhan Arikan
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Sobolev inequalities in 2-D hyperbolic space: A borderline case
Journal of Inequalities and Applications, 1998 Sobolev inequalities in two-dimensional hyperbolic space are dealt with. Here is modeled on the upper Euclidean. half-plane equipped with the Poincaré–Bergman metric.
Mugelli Francesco, Talenti Giorgio
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A Direct Approach to Shape Optimisation of Structures
Engineering Transactions, 1979 Shape optimisation of structures constitutes - mathematically a non-standard problem of the calculus of variations consisting in searching for the conditional extremum of a functional which does not possess, as a rule, a "localization property".
Z.K. Leśniak
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Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives
Fractal and FractionalThis paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
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