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Analytic solutions of parametric type and numerical simulations of a class of nonlinear ordinary differential equations
BVP analytic solutions of parametric type
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2010/9/25
In this paper, the mathematical model that describes the radially symmetric deformation of a micro-void centered at a compressible hyperelastic sphere is formulated as a boundary value problem (BVP) o...
A note on integral transforms and partial differential equations
Laplace transform Sumudu transform convolution
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2010/9/20
In this study, we apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and poisson’s equations were solved by dou...
Fourth order positively smoothed Pade schemes for parabolic partial differential equations with nonlocal boundary conditions
Fourth order positively smoothed Pade schemes parabolic partial differential equations
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2010/9/26
Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process...
Applications of fractional differential equations
fractional derivative fractional differential equations
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2010/9/27
By considering different definitions of fractional derevatives, we study some kind of fractional differential equations and also give some of there applications.
Period differential equations for families of $K3$ surfaces derived from 3 dimensional reflexive polytopes with 5 vertices
K3 surfaces period differential equations toric varieties
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2011/1/17
In this article we study the families of K3 surfaces derived from 3 dimensional 5 verticed re-
flexive polytopes with at most terminal singularity. We determine the lattice structures, the period dif...
A condition on delay for differential equations with discrete state-dependent delay
differential equations discrete state-dependent delay
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2010/11/23
Parabolic differential equations with discrete state-dependent delay are studied. The approach, based on an additional condition on the delay function introduced in [A.V. Rezounenko, Differential equ...
Loewner Theory in annulus I: evolution families and differential equations
Loewner Theory differential equations
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2010/11/23
Loewner Theory, based on dynamical viewpoint, is a powerful tool in Complex Analysis, which plays a crucial role in such important achievements as the proof of famous Bieberbach's conjecture and well...
A multiple exp-function method for nonlinear differential equations and its application
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
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2010/11/10
A multiple exp-function method to exact multiple wave solutions of nonlinear partial differential equations is proposed. The method is oriented towards ease of use and capability of computer algebra s...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
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2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Semigroup Point Splitting Schemes Differential Equations
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2010/11/18
We construct normed spaces of real-valued functions with controlled growth on possibly infinite-dimensional state spaces such that semigroups of positive, bounded operators $(P_t)_{t\ge 0}$ thereon w...
On Girsanov's transform for backward stochastic differential equations
stochastic differential equations math
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2010/11/19
By using a simple observation that the density processes appearing in Ito's martingale representation theorem are invariant under the change of measures, we establish a non-linear version of the Came...
Reflected backward doubly stochastic differential equations with discontinuous generator
stochastic differential equations discontinuous generator
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2010/11/19
In this note, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous generator (left-or right-continuous). By a c...
Generalized backward doubly stochastic differential equations driven by Lévy processes with continuous coefficients
stochastic differential equations continuous coefficients
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2010/11/19
A new class of generalized backward doubly stochastic differential equations (GBDSDEs in short) driven by Teugels martingales associated with L\'evy process are investigated. We establish a compariso...
Multivalued stochastic Dirichlet-Neumann problems and generalized backward doubly stochastic differential equations
Dirichlet-Neumann problems stochastic differential equations
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2010/11/19
In this paper, a class of generalized backward doubly stochastic differential equations whose coefficient contains the subdifferential operators of two convex functions (also called generalized backw...
Multivalued stochastic partial differential-integral equations via backward doubly stochastic differential equations driven by a Lévy process
partial differential-integral equations stochastic differential equations
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2010/11/19
In this paper, we deal with a class of backward doubly stochastic differential equations (BDSDEs, in short) involving subdifferential operator of a convex function and driven by Teugels martingales a...