first-order partial differential equations
A Study of General First-order Partial Differential Equations Using Homotopy Perturbation Method
... linear first-order partial differential equations which is used as mathematical models in many physically significant fields and applied ...linear first-order ...
16
A New Approach In Determining Solution Of The Differential Equations And The First Order Partial Differential Equations
... non-homogeneous) first order differ- ential equations and formation of differential equations in short meth- ods and solving the second order linear differential ...
15
Weak solutions of functional differential inequalities with first order partial derivatives
... Hyperbolic differential inequalities corresponding to initial problems were first trea- ted in the monographs ...of first-order partial differential equations, including ...
20
Function theory for a beltrami algebra
... analytic functions by means of systems of first order partial differential equations goes back at least to a paper of Picard in 1891 [I]... The solutions of that system.[r] ...
10
Hyers Ulam Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability
... In the present paper, we establish a multivariate fuzzy chain rule under generalized differentiability by extending the corresponding chain rule under H-differentiability. Based on the result, we discuss the Ulam stability ...
18
One Dimensional Explicit Tolesa Numerical Scheme for Solving First Order Hyperbolic Equations and Its Application to Macroscopic Traffic Flow Model
... In this research work we present and discuss some of the one-dimensional ex- plicit numerical schemes available in the literature and the newly propose scheme. Specifically, the paper is organized in three more sections ...
19
Linear Partial Differential Equations of First Order as Bi Dimensional Inverse Moments Problem
... We will show that, the partial differential Equation 1 can be transformed into a integral equation and that this one can be numerically solved using techniques normally employed with gen[r] ...
11
Stability of the second order partial differential equations
... of differential equation y’ = y was first investigated by Alsina and Ger ...space-valued differential equation y’ = ...linear differential equation of the first ...
10
Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations
... _____________________________________________________________________________________________________ Abstract - This paper provides a method for solving systems of first order ordinary differential ...
5
On Lyapunov type inequalities for fourth order linear differential equations
... In this paper, we introduce new Lyapunov-type inequalities for fourth order linear di¤erential equations under the third-point and four-point boundary conditions. The result for four-point boundary ...
7
Experimental Validation of Numerical Simulation of Vibrating Systems having Three Degrees of Freedom using Power Input Method
... mathematical equations and formulations into real conclusions ...of partial differential equations, which is quite difficult ...[7].In order to solve equations of motion, the ...
8
A Cauchy Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
... As a first step in the proof of Theorem 1.1, we shall prove (i) = ⇒ (iii) (i.e. the necessity of the compatibility conditions) and (ii) ⇐⇒ (iii) (i.e. the characterization of the compatibility conditions by means ...
29
Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...
8
Pseudo almost periodic solutions for first order neutral differential equations
... In this paper, we study a class of first-order neutral differential equations with time-varying delays and coefficients. Employing the fixed point method and differential inequality techniques, easily verifiable ...
10
Differential inequalities and comparison theorems for first order hybrid integro-differential equations
... The main problem of the integro-differential inequalities is to estimate a bound for the solution set for the integro-differential inequality related to the HIDE (1.1). In this section we prove that the ...
20
Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... We now have a dynamical system where the ‘state variable’ is not a finite sys- tem of vectors (as in celestial mechanics), but is instead a multivariate function. The evolution of this function is determined by its ...
619
On Approximate Solutions of Second Order Linear Partial Differential Equations
... In this study, the usefulness of the Chebyshev matrix method presented for the approximate solution of the second order linear partial differential equations is dis- cussed. Also, the method ...
7
On the stability of linear differential equations of second order
... linear differential equations of first order, ...Gegenbauer differential equations, ...Functional Equations in Mathematical Analysis, Hadronic ...
6
Notes on Diffy Qs: Differential Equations for Engineers
... If we are interested only in the long term behavior of the solution, we would be doing unnecessary work if we solved the equation exactly. We could draw the slope field, but it is easier to just look at the phase diagram ...
466
First-order nonlinear differential equations with state-dependent impulses
... continuous first derivative on some subset of R and is a linear bounded functional which is defined on the Banach space of left-continuous regulated functions on [a, b] equipped with the sup-norm. The functional is ...
18