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

207
views

78
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

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.
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.
Almost periodic solutions of the linear differential equation with piecewise constant argument Akhmet, Marat (2009-10-01) The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.
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.
Least squares differential quadrature time integration scheme in the dual reciprocity boundary element method solution of convection-diffusion problems Bozkaya, Canan (2005-03-18) The least squares differential quadrature method (DQM) is used for solving the ordinary differential equations in time, obtained from the application of the dual reciprocity boundary element method (DRBEM) for the spatial partial derivatives in convection-diffusion type problems. The DRBEM enables us to use the fundamental solution of the Laplace equation which is easy to implement computationally. The time derivative and the convection terms are considered as the nonhomogeneity in the equation which are ap...

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.