second-order differential equation
Saturation Behavior: a general relationship described by a simple second-order differential equation
... assumption-free, second- order differential equation, designed only to describe a typical relationship between the variables governing these ...
13
Asymptotic Theory for a General Second Order Differential Equation
... Introduction In this paper, we examine the asymptotic form of two linearly independant solutions of the general second-order differential equation... dx The coefficients p,q and r are no[r] ...
7
Periodic Solutions of a Class of Second Order Differential Equation
... Introduction and Statement of the Main Results In this paper we shall study the existence of periodic solutions of the second-order differential equation of the form.. We note that the s[r] ...
6
Existence of positive solutions of the Cauchy problem for a second order differential equation
... Existence of positive solutions of the Cauchy problem for a second-order differential equation Toshiharu Kawasaki1* and Masashi Toyoda2 * Correspondence: [email protected] 1[r] ...
14
Boundedness of solutions for a class of second-order differential equation with singularity
... Theorem Under the assumptions (.) and (.), all the solutions of (.) are bounded. The main idea of our proof is acquired from []. The proof of Theorem is based on a small twist theorem due to Ortega []. It ...
15
Stability Behavior of the Zero Solution for Nonlinear Damped Vectorial Second Order Differential Equation
... the second order ordinary differ- ential equation has been intensively and widely studied ...ordinary differential equa- tion under more general ...
5
Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter
... In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the ...
11
Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments
... Using a well-known fixed point theorem on cones, we study the number of positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments. We discuss ...
21
New results for perturbed second-order impulsive differential equation on the half-line
... By using a variational method and some critical points theorems, we establish some results on the multiplicity of solutions for second-order impulsive differential equation depending on two real ...
15
Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods
... As an important research field of study, the impulsive differential equation has been at- tracting the attention of several mathematicians. In the early years, the main way to resolve this kind of problems is based ...
9
Existence the locally attractive solution for a second order nonlinear differential equation in banach space
... Hence all the conditions of theorem (2.3) are satisfied and therefore the operator equation = has a solution in (0) . As a result, the SNDE (1.1) has a solution defined on ℝ .Step V: Finally we show the locally ...
6
Oscillatory behavior of a second order nonlinear advanced differential equation with mixed neutral terms
... and established a new comparison principle by using new monotonic properties of nonoscillatory solutions and iterated exponentiation. Agarwal et al. [7] used an approach that leads to two independent conditions, ...
18
Complex oscillation of a second order linear differential equation with entire coefficients of [p,q]−φ order
... In this paper, we shall assume that readers are familiar with the standard notations of Nevanlinna value distribution theory (see [–]). The theory of complex linear equations has been developed since s. Many ...
14
Multiple periodic solutions to a class of nonautonomous second-order delay differential equation
... In this paper, the main purpose is to study the multiplicity of periodic solutions for sys- tems (.) via some recent critical point theorems for strongly indefinite functionals. In order to achieve this, some ...
13
Boundary value problems for differential equations with reflection of the argument
... Now consider the following second order linear functional differential equation.. By differentiation and algebraic elimination this equa-.[r] ...
13
NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated second order ...
7
Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation
... To summarize this study, in Section 1, it is proved that the operator associated with (2), (3) is self-adjoint and has a discrete spectrum. In Section 2, we establish an asymp- totic formula for the eigenvalues. To do ...
22
A Note on Stability of Longitudinal Vibrations of an Inhomogeneous Beam
... partial differential equations, particularly, the second order wave equation and the fourth-order Euler-Bernoulli beam ...wave equation in a bounded domain ...
5
The zero crossing problem
... We analyze a second order nonlinear differential equation that is useful in the zero crossing problem.. Intro du ctj on.[r] ...
14
Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... partial differential equation and integral ...first, second-order and higher-order homogeneous and nonhomoge- neous differential equations, in partial differential ...
7