# Second order equations

Xem 1-20 trên 131 kết quả Second order equations
• ### differential equations and linear algebra (3th edition): part 1

(bq) part 1 book "differential equations and linear algebra" has contents: first order equations, second order equations, graphical and numerical methods, linear equations and inverse matrices.

• ### Lecture Electric circuit theory: Second-order circuits - Nguyễn Công Phương

Lecture Electric circuit theory: Second-order circuits include all of the following content: The Source-free series RLC circuit, initial conditions, the characteristic equation, the classical method, second-order op amp circuits.

• ### Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations

This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established. Two examples are presented to illustrate the main results.

• ### Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation

In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.

• ### On the boundedness and integration of non-oscillatory solutions of certain linear differential equations of second order

In this paper, certain system of linear homogeneous differential equations of second-order is considered. By using integral inequalities, some new criteria for bounded and L2 ½0;1Þ-solutions, upper bounds for values of improper integrals of the solutions and their derivatives are established to the considered system. The obtained results in this paper are considered as extension to the results obtained by Kroopnick (2014) [1]. An example is given to illustrate the obtained results.

• ### The approximate solution of stochastic van der pol - Duffing system with time delay by second order stochastic averaging method

The paper shows that the approximate solution of the Van der PolDuffing system with time delay subjected to the white noise can be found by the second order stochastic averaging method. The stochastic system with time delay is transformed into the stochastic non-delay equation in Ito sense in accordance with the hypothesis that there are some slowly varying processes. Then the higher order stochastic averaging method is artfully applied to find the stationary probability density function for the system. The analytical results are verified by numerical simulation results.

• ### MULTIPLICITY RESULTS FOR A CLASS OF ASYMMETRIC WEAKLY COUPLED SYSTEMS OF SECOND-ORDER ORDINARY

MULTIPLICITY RESULTS FOR A CLASS OF ASYMMETRIC WEAKLY COUPLED SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS FRANCESCA DALBONO AND P. J. MCKENNA Received 1 November 2004 We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties.

• ### Examples of Differential Equations of Second Order with Variable Coefﬁcients, in particular Euler’s Differential Equation and Applications of Cayley-Hamilton’s Theorem Calculus 4c-4

Here follows the continuation of a collection of examples from Calculus 4c-1, Systems of differential systems. The reader is also referred to Calculus 4b and to Complex Functions. We focus in particular on the linear differential equations of second order of variable coefficients, although the amount of examples is far from exhausting. It should no longer be necessary rigourously to use the ADIC-model, described in Calculus 1c and Calculus 2c, because we now assume that the reader can do this himself....

• ### On positive solutions of boundary value problems for nonlinear second order difference equations

In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green’s functions are investigated and existence results for positive solutions of the nonlinear boundary value problem are established. Upper and lower bounds for these positive solutions also are given.

• ### Second-order nonlinear three point boundary-value problems on time scales

We consider a second order three point boundary value problem for dynamic equations on time scales and establish criteria for the existence of at least two positive solutions of an eigenvalue problem by an application of a fixed point theorem in cones. Existence result for non-eigenvalue problem is also given by the monotone method.

• ### Existence of periodic solutions for second order rayleigh equations with piecewise constant argument

Based on a continuation theorem of Mawhin, periodic solutions are found for the second-order Rayleigh equation with piecewise constant argument. In this paper we study a slightly more general second-order Rayleigh equation with piecewise constant argument of the form.

• ### Studying an efficient second order accurate scheme for solving two-dimensional shallow flow model

The aim of this paper is to present an efficient high order accuracy numerical scheme for conservation law on structure grids. The Monotone Upstream Centered Scheme for Conservation Laws (MUSCL) procedure renders the model to preserve the well-balanced property and achieve high accuracy and efficiency for solving nonlinear two dimensional shallow water equations (2DSWE).

• ### Dirichlet cauchy problem for second order parabolic equations in domains with edges

In this paper, we study the first initial boundary value problem for second-order parabolic equations in cylinders with piecewise smooth base. Some results on the unique existence and on the smoothness with respect to time of the solution are given.

• ### On the solvability of the boundary problem for second order parabolic equations without an initial condition in cylinders with non smooth base

The goal of this paper is to establish the unique existence of generalized solutions of boundary problem for second-order parabolic equations without an initial condition in cylinders with non-smooth base.

• ### The regularity in Lp sobolev spaces for cauchy dirichlet problem for second order parabolic equations in a domain with conical points

In this paper, we study the regularity of the solution for Cauchy-Dirichlet problem for the second order parabolic equations in domains with conical points. The regularity of the solution in Lp-weighted Sobolev spaces will be established.

• ### The neumann problem for second order hyperbolic equations in nonsmooth domains

In this paper, we study the Neumann problem for second order hyperbolic equations without initial data in nonsmooth domains. Our intension was to prove the existence of a generalized solution to this problem by applying the results of this problem to the initial data.

• ### The existence of a solution to the dirichlet problem for second order hyperbolic equations in nonsmooth domains

The purpose of this paper is to prove the existence of generalized solution of a boundary value problem for the second order hyperbolic equations without initial conditions in nonsmooth domains.

• ### Spectral properties of the operator pencils generated by second order elliptic boundary-value problems depending on parameter in an angle

In this paper we consider spectral properties of the operator pencils generated by boundary-value problems for second order elliptic equation depending parameter in a plane angle. We receive explicit formula for the eigenvalues and the eigenvectors of the operator pencil, the multiplicity of the eigenvalues, and the differentiability of the eigenvalues and the eigenvectors with respect to the parameter.

• ### Báo cáo hóa học: " Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type

• ### Báo cáo hóa học: "Research Article Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations