[PDF] Top 20 New periodic solutions with a prescribed energy for a class of Hamiltonian systems
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New periodic solutions with a prescribed energy for a class of Hamiltonian systems
... with a fixed energy. The first major result in this direction we would like to highlight can be derived from the work of Benci [], Gluck-Ziller [], and Hayashi [], which is based on the earlier work of Seifert ... See full document
8
New periodic solutions for a class of singular Hamiltonian systems
... After Ambrosetti-Coti Zelati, a lot of mathematicians studied singular Hamiltonian sys- tems. Here we only mention a related recent paper of Carminati-Sere-Tanaka [], in which they used complex variational and ... See full document
7
Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system
... 9. Fadell, E, Husseini, S: A note on the category of free loop space. Proc. Am. Math. Soc. 102, 527-536 (1989) 10. Gordon, WB: Conservative dynamical systems involving strong forces. Trans. Am. Math. Soc. 204, ... See full document
7
Existence of periodic solutions for a class of second order discrete Hamiltonian systems
... a new method to study the existence and multiplicity of periodic solutions of difference equations by using critical point theory (see [–]), the ex- istence and multiplicity of periodic ... See full document
17
New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition
... be periodic in t and the au- thor obtained the results by the mountain pass ...the periodic condition, Rabinowitz and Tanaka [21] introduced the following coercive condition on ... See full document
14
Periodic solutions for a class of second order Hamiltonian systems with \(p(t)\)-Laplacian
... one periodic solution. The periodic solutions which we get appear either as saddle points or as minimizers of the energy functional associated to problem ...distinct periodic ... See full document
20
Existence and exponential stability of periodic solutions for a class of Hamiltonian systems on time scales
... of periodic solutions to (.), in which T is a periodic time ...of periodic solutions to ...the periodic so- lution to (.). Our results are new and complementary to the ... See full document
10
Periodic and subharmonic solutions for a class of the second-order Hamiltonian systems with impulsive effects
... of solutions of second-order systems under condition ...of solutions for system (.) under a kind of new superquadratic condition which is different from the A-R ... See full document
10
New periodic solutions of singular Hamiltonian systems with fixed energies
... second-order Hamiltonian systems without singularity, based on their work, Benci [, ] and Gluck and Ziller [] and Hayashi [] used a Jacobi metric and very complicated geodesic methods and algebraic ... See full document
14
Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems
... the periodic and subharmonic solutions to the p-Laplacian systems of ...subharmonics solutions of p-Laplacian system by using the dual least action ...the periodic solutions ... See full document
15
New existence of hyperbolic orbits for a class of singular Hamiltonian systems
... A new existence of hyperbolic orbits is obtained for a class of singular Hamiltonian systems with prescribed energies by taking the limit for a sequence of approximate ... See full document
16
Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
... where S(n) is a real symmetric positive definite 2d × 2d matrix with S(n + p) = S(n) for every n ∈ Z , and then, for any real symmetric positive definite matrix S, we define a pair of index functions (i(S, p), ν(S, p)) ∈ ... See full document
13
New Solutions for a Wider Use of Solar Energy
... 2 SOLAR COLLECTOR - THE SOLAR ROOF The solar roof consists of a random number of solar energy collectors linked into a whole and installed on the roof of a building. Since all connecting tubes are inside the solar ... See full document
7
Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities
... the above sections can be removed. Indeed, Lemmas . and . guarantee the applicabil- ity of the following non-uniqueness version of the Poincaré-Birkhoff theorem which was proved by Fonda and Ureña in []. We now ... See full document
16
Existence of homoclinic orbits for a class of p-Laplacian systems in a weighted Sobolev space
... Poincaré []. Up to the year of , a few of isolated results can be found, and the only method for dealing with such a problem was the small perturbation technique of Melnikov. Recently, the existence and multiplicity ... See full document
18
Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
... homoclinic solutions have been proved to be important in studying the behavior of dynamic ...The periodic condition was introduced by Rabinowitz [19] in 1990 to discuss the existence of homoclinic ... See full document
10
Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation
... of periodic solutions of linear Hamiltonian systems with a nonlinear ...of periodic solutions is obtained by saddle point ... See full document
12
Multiplicity of periodic bouncing solutions for generalized impact Hamiltonian systems
... Applying the Generalized Nonsmooth Saddle Point Theorem, we obtain multiple nontrivial periodic bouncing solutions for systems x ¨ = f(t, x) with new conditions. In particular, we generalize ... See full document
14
Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems
... distinct solutions under different assumptions. For the non-periodic case, see [, , , ...semiclassical solutions’ problem, we refer the readers to [, , , ] and the references ... See full document
13
Existence of periodic solutions for nonautonomous second order discrete Hamiltonian systems
... of periodic solutions for discrete Hamiltonian system ...one periodic solution to system ...potential energy does not exceed sublinear ... See full document
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