Impulsive Boundary Value Problems for Planar Hamiltonian Systems

Download

index.pdf

Date

2013-01-01

Author

Kayar, Zeynep
Zafer, Ağacık

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

44
views

0
downloads

We give an existence and uniqueness theorem for solutions of inhomogeneous impulsive boundary value problem (BVP) for planar Hamiltonian systems. Green's function that is needed for representing the solutions is obtained and its properties are listed. The uniqueness of solutions is connected to a Lyapunov type inequality for the corresponding homogeneous BVP.

Subject Keywords

ORDINARY DIFFERENTIAL-EQUATIONS, LYAPUNOV INEQUALITIES, STABILITY-CRITERIA, PERIODIC PROBLEMS, 1ST-ORDER

URI

https://hdl.handle.net/11511/57600

Journal

ABSTRACT AND APPLIED ANALYSIS

DOI

https://doi.org/10.1155/2013/892475

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Stability criteria for linear Hamiltonian systems under impulsive perturbations Kayar, Z.; Zafer, Ağacık (2014-03-01) Stability criteria are given for planar linear periodic Hamiltonian systems with impulse effect by making use of a Lyapunov type inequality. A disconjugacy criterion is also established. The results improve the related ones in the literature for such systems.
Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria Zafer, Ağacık (2012-12-15) In this paper, we first establish new Lyapunov type inequalities for discrete planar linear Hamiltonian systems. Next, by making use of the inequalities, we derive stability and disconjugacy criteria. Stability criteria are obtained with the help of the Floquet theory, so the system is assumed to be periodic in that case.
Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01) Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
Differential - Operator solutions for complex partial differential equations Celebi, O; Sengul, S (1998-07-10) The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
Value sets of Lattes maps over finite fields Küçüksakallı, Ömer (Elsevier BV, 2014-10-01) We give an alternative computation of the value sets of Dickson polynomials over finite fields by using a singular cubic curve. Our method is not only simpler but also it can be generalized to the non-singular elliptic case. We determine the value sets of Lattes maps over finite fields which are rational functions induced by isogenies of elliptic curves with complex multiplication.

Citation Formats

Z. Kayar and A. Zafer, “Impulsive Boundary Value Problems for Planar Hamiltonian Systems,” ABSTRACT AND APPLIED ANALYSIS, pp. 0–0, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57600.