piecewise-linear differential equation
Preservation of stability and oscillation of Euler Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type
... Differential equation of this form has stimulated considerable interest and has been studied by Cooke and Wiener [], Jayasree and Deo [], Wiener and Aftabizadeh ...of equation the argument deviation η(t) = ...
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Existence and Uniqueness of Periodic Solutions for a Second Order Nonlinear Differential Equation with Piecewise Constant Argument
... In this note, existence and uniqueness criteria for periodic solutions of 1.3 will be established. For this purpose, we will make use of a continuation theorem of Mawhin. Let X and Y be two Banach spaces and L : Dom L ⊂ ...
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A parabolic differential equation with unbounded piecewise constant delay
... Integral transforms were successfully used to find the solutions of initial value problems for linear partial differential equations with piecewise constant delay.. It has been shown in [r] ...
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Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument
... to piecewise constant forces of the form f (x([t])) or f ...solving linear and nonlinear vibration problems and showed that a function f ([N(t)]/N) is a good approximation to the given continuous func- tion ...
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Goodwin Accelerator Model Revisited with Piecewise Linear Delay Investment
... tisfy Equation (6) and it is also determined whether y is increasing or decreasing at that ...the differential Equation (3) with the piece- wise linear investment function (2) can give rise to ...
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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation
... delay differential equation the time derivatives at the current time which depend on the solution and possibly its derivatives at pervious ...order differential equations posses oscillatory solutions ...
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Study Of Flow Characteristics Of Contracted Sharp Crested Rectangular Weir
... Kindsvater and Carter [24] in 1957 made extensive study about rectangular sharp crested weirs. They introduced number of equations for discharge coefficient as a function of H/P and b/B ratios. They introduced a ...
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Formulation of Finite Element Method for 1D and 2D Poisson Equation
... This paper presents the basic understanding of Finite Element Method and the methodology to solve any problem of differential equation. The main idea of Finite Element Method is to choose the appropriate ...
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Functional differential equations with infinite delay in Banach spaces
... differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and found that the exponential s[r] ...
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A complete Classification of Lienard equation
... The equation describes the motion of a damped oscillator with a more complicated poten- tial than in simple harmonic motion (which corresponds to the case β = δ = 0); in physical terms, it models, for example, a ...
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A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme
... Richards’ equation) or b′(s) > 0 but discontinuous at one point 0 (such as Stefan problem or porous-medium ...C0-piecewise linear finite elements in space and backward-dif- ferences in ...
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A GUARANTEED CONTROL PROBLEM FOR A LINEAR STOCHASTIC DIFFERENTIAL EQUATION
... The latter integral on the right-hand side of equality (1.2) is stochastic and is understood in the sense of Ito. For any ω ∈ Ω, the formulated Cauchy problem has a unique solution and specifies the corresponding ...
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International Journal of Partial Differential Equations and Applications
... [6] Zhang J., A Sumudu Based Algoritm for Solving Differential equations, Comp. Sci. J. Moldova, vol. 3, no. 15, pp.303-313, 2009. [7] T. Elzaki, S. Elzaki, and E. Elnour, On some applications of new integral ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... fractional differential equations of a range of forms and classes, carry on to draw increasing attention from many ...and Differential Transform method (DTM), [18], ...
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Image Zooming using Non-linear Partial Differential Equation
... In recent years, methods based on Partial Differential Equations (PDEs) have been proposed and have shown better performance than the previous methods. One of the widely used techniques based on PDEs in image ...
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Existence and Uniqueness of a Fuzzy Solution for Some Fuzzy Neutral Partial Differential Equation with Nonlocal Condition
... combine differential equations with fuzzy sets to form a fuzzy logic system called a fuzzy dynamical system, which can be regarded to form a fuzzy neutral functional differential ...
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Performance analysis of Piecewise linear Companding with various precoders for PAPR Reduction of OFDM Signals
... applied to reduce the PAPR of OFDM signals before OFDM signal is modulated using an IFFT (Inverse Fast Fourier Transform). This further reduces the PAPR of the OFDM signal the piecewise linear companding ...
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Backward-forward linear-quadratic mean-field games with major and minor agents
... nonlinear BSDE was first studied in Pardoux and Peng (1990). The BSDE has been applied broadly in many fields such as mathematical economics and finance, decision making and management science. One example is the ...
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Invariant curves for a delay differential equation with a piecewise constant argument
... The study of differential equations with piecewise constant argument (EPCA) initiated in [, ]. These equations represent a hybrid of continuous and discrete dynamical systems and combine the properties of both ...
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On the Solutions of a Linear Fractional Differential Equation
... 7. Oyedepo T, Taiwo OA, Abubakar JU, Ogunwobi ZO (2016) “Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials”. Fluid Mech Open Acc 3: ...
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