Advanced search    

Search: Partial Differential Equations

807,110 papers found. Showing first 1,000 results.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Lie symmetry analysis of some conformable fractional partial differential equations

In this article, Lie symmetry analysis is used to investigate invariance properties of some nonlinear fractional partial differential equations with conformable fractional time and space derivatives ... of Symmetry Methods to Partial Differential Equations. Springer, New York (2010)CrossRefGoogle Scholar 10. Buckwar, E.; Luchko, Y.: Invariance of a partial differential equation of fractional order

Partial differential equations with piecewise constant delay

The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential

Linear neutral partial differential equations: a semigroup approach

IJMMS LINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS: A SEMIGROUP APPROACH RAINER NAGEL NGUYEN THIEU HUY We study linear neutral PDEs of the form (?/?t)Fut = BFut + ?ut, t ? 0; u0(t) = ?(t), t ? 0 ... class of linear partial neutral functional-differential equations with nondense domain , J. Differential Equations 147 ( 1998 ), no. 2 , 285 - 332 . [2] R. Datko , Linear autonomous neutral differential

Oscillation criteria for high order delay partial differential equations

This paper studies a class of high order delay partial differential equations. Employing high order delay differential inequalities, several oscillation criteria are established for such equations ... Journal of Applied Mathematics and Stochastic Analysis OSCILLATION CRITERIA FOR HIGH ORDER DELAY PARTIAL DIFFERENTIAL EQUATIONS 1 0 University of Waterloo, Department of Applied Mathematics Waterloo

Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing

The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing. Firstly, the ... partial differential equations (PDEs) from American volatility options written on the volatility whose price follows four well-known models: GBMP, MRGP, MRSRP, and MRLP. The original idea of NCIMs is

A survey of partial differential equations with piecewise continuous arguments

Some work is described and new topics are posed on initial and boundary-value problems for partial differential equations whose arguments have intervals of constancy. These equations are of ... defined as a continuous, sectionally smooth function that satisfies the equation AND PHRASES; Partial differential equations; piecewise constant delay; boundary value problem; initial value problem

An Analysis of Unsolvable Linear Partial Differential Equations of Order One

some quantity changes with some other quantity and its derivatives, there are more sophisticated differential equations known as Partial Differential Equations (PDEs), which describe how one quantity ... UNSOLVABLE LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF ORDER ONE by Laura J. Fields Departments of Mathematics and Physics Fulbright College of Arts and Sciences Faculty Mentor: Loredana Lanzani Department of

Linear neutral partial differential equations: a semigroup approach

IJMMS LINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS: A SEMIGROUP APPROACH RAINER NAGEL NGUYEN THIEU HUY We study linear neutral PDEs of the form (∂/∂t)Fut = BFut + Φut, t ≥ 0; u0(t) = ϕ(t), t ≤ 0 ... class of linear partial neutral functional-differential equations with nondense domain , J. Differential Equations 147 ( 1998 ), no. 2 , 285 - 332 . [2] R. Datko , Linear autonomous neutral differential

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques. We consider first a nonlinear ... International Journal of APPLICATION OF DECOMPOSITION TO HYPERBOLIC 0 PARABOLIC 0 ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 0 0 G. ADOMIAN Center for Applied Mathematics University of Georgia Athens

Boundary value problems for partial differential equations with piecewise contant delay

The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied. ... successively to construct the solution un (x,t) for any n > o. From (2.12) we conclude that all un (x) satisfy (2.4?) Differentiating (2.11) term by term PARTIAL DIFFERENTIAL EQUATIONS WITH PIECEWIES CONSTANT

Oscillation criteria for high order delay partial differential equations

This paper studies a class of high order delay partial differential equations. Employing high order delay differential inequalities, several oscillation criteria are established for such equations ... Journal of Applied Mathematics and Stochastic Analysis OSCILLATION CRITERIA FOR HIGH ORDER DELAY PARTIAL DIFFERENTIAL EQUATIONS 1 0 University of Waterloo, Department of Applied Mathematics Waterloo

Boundary value problems for second-order partial differential equations with operator coefficients

Journal of BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH OPERATOR COEFFICIENTS KUDRATILLO S. FAYAZOV 0 EBERHARD SCHOCK 0 0 A(x , t )Lu(x, t ) Let T be some bounded ... -posed problems of the numerical theory and tomography , Siberian Math. J. 33 ( 1992 ), 27 - 41 . [2] K. S. Fayazov and M. M. Lavrent 'ev, Cauchy problem for partial differential equations with operator

A survey of partial differential equations with piecewise continuous arguments

Some work is described and new topics are posed on initial and boundary-value problems for partial differential equations whose arguments have intervals of constancy. These equations are of ... defined as a continuous, sectionally smooth function that satisfies the equation AND PHRASES; Partial differential equations; piecewise constant delay; boundary value problem; initial value problem

Recent development in the theory of linear partial differential equations

A historical development of the theory of linear partial differential equation is reviewed with comments. A recent development in the theory of linear partial differential equations is discussed. ... , Pseudo-Differential Operator, Elliptic Differential 1 Villa Orangini 119 Avenue de Braucolar Nice , France 06100 2 Linear Partial Differential Equations , Spectral Theory 3 Mathematics Department Carlton

On closed-form solutions of some nonlinear partial differential equations

This paper is devoted to closed-form solutions of the partial differential equation: θxx ... Internat. J. Math. & Math. Sci. Vol. ON CLOSED-FORM SOLUTIONS OF SOME NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS 0 Okoya: Department of Mathematics, Obafemi Awolowo University , Ile-Ife, Nigeria E

Dos aplicaciones de internet en la currícula de Ingeniería Química

, "Mathematical Modeling of the Fluorescence Recovery After Photobleaching (FRAP) Technique", is useful for courses related with the formulation and solution of mathematical models based on partial differential

Boundary value problems for partial differential equations with piecewise contant delay

The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied. ... successively to construct the solution un (x,t) for any n > o. From (2.12) we conclude that all un (x) satisfy (2.4’) Differentiating (2.11) term by term PARTIAL DIFFERENTIAL EQUATIONS WITH PIECEWIES CONSTANT

Application of Nonlinear Time-Fractional Partial Differential Equations to Image Processing via Hybrid Laplace Transform Method

linearization technique, which results in a robust method for solving nonlinear time-fractional partial differential equations on a bounded domain. Following the method detailed by Jacobs and Harley in [1, 2] we ... bounded domain. Other techniques such as the variational iteration method, Adomian decomposition method, and differential transform method have all been applied to fractional partial differential equations

Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn

We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u ... elliptic partial differential equations of the forms: (1) ? 2u+?f (u) = 0, ? ? R+ and (2) ? u + ?(? u)k + gu = 0, ? ? 0 in some region ? ? Rn. 1. Introduction. In [1], Chow and Dunninger proved the following