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The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations
Published 2014-01-01“…The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. …”
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Superfluidity in the stochastic limit
Published 2004-01-01“…We discuss the stochastic limit approach to superfluidity. Starting from the usual Hamiltonian describing the interaction between the Bose condensate and the normal phase, we prove the existence of superfluidity in the stochastic limit and deduce a nonlinear (quadratic) kinetic equation describing the evolution of the density of superfluid liquid.…”
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Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System
Published 2014-01-01“…Later, sufficient conditions for the stochastically ultimate boundedness of positive solution are derived. …”
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Products of stochastic matrices and applications
Published 1989-01-01“…This paper deals with aspects of the limit behaviour of products of nonidentical finite or countable stochastic matrices (Pn). Applications are given to nonhomogeneous Markov models as positive chains, some classes of finite chains considered by Doeblin and weakly ergodic chains.…”
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Stochastic Logistic Systems with Jumps
Published 2014-01-01“…This paper is concerned with a stochastic nonautonomous logistic model with jumps. …”
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Dynamics of stochastic mutation to immunodominance
Published 2012-09-01Subjects: “…stochastic dynamics…”
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Fully Coupled Mean-Field Forward-Backward Stochastic Differential Equations and Stochastic Maximum Principle
Published 2014-01-01“…We discuss a new type of fully coupled forward-backward stochastic differential equations (FBSDEs) whose coefficients depend on the states of the solution processes as well as their expected values, and we call them fully coupled mean-field forward-backward stochastic differential equations (mean-field FBSDEs). …”
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Stochastic θ-Methods for a Class of Jump-Diffusion Stochastic Pantograph Equations with Random Magnitude
Published 2014-01-01“…This paper is concerned with the convergence of stochastic θ-methods for stochastic pantograph equations with Poisson-driven jumps of random magnitude. …”
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Dynamics of a stochastic delayed Harrison-type predation model: Effects of delay and stochastic components
Published 2018-11-01Subjects: Get full text
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Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation
Published 2014-01-01“…We also compare efficiency and stochastic convergence with that of stochastic collocation.…”
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Geometric Asian Options Pricing under the Double Heston Stochastic Volatility Model with Stochastic Interest Rate
Published 2019-01-01“…This paper presents an extension of double Heston stochastic volatility model by incorporating stochastic interest rates and derives explicit solutions for the prices of the continuously monitored fixed and floating strike geometric Asian options. …”
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Stochastic Maximum Principle of Near-Optimal Control of Fully Coupled Forward-Backward Stochastic Differential Equation
Published 2014-01-01“…This paper first makes an attempt to investigate the near-optimal control of systems governed by fully nonlinear coupled forward-backward stochastic differential equations (FBSDEs) under the assumption of a convex control domain. …”
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Influence of stochastic volatility for option pricing
Published 2004-12-01Subjects: Get full text
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Stochastic Theories and Deterministic Differential Equations
Published 2010-01-01“…We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. …”
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LOCAL CHARACTERISTICS OF DIFFICULT STOCHASTIC SYSTEM
Published 2014-05-01“…Expressions for vectors of a pulling down and matrixes of diffusion of subsystems of difficult stochastic system in which the components depending on determined and casual influence of other subsystems of system are considered are analytically received.…”
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