# [PDF] Top 20 Asymptotic Forms and Algebraic Differential equations

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### Asymptotic Forms and Algebraic Differential equations

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

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### Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations

... April 8, 2018 Abstract Discrete time hedging produces a residual risk, namely, the tracking error. The major problem is to get valuation/hedging policies minimizing this error. We evaluate the risk between trading dates ... Voir le document complet

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### On the asymptotic behaviour and oscillation of the solutions of certain differential equations and systems with delay

... dierential **equations** of second order has also attracted an attention, see for instance the books of Bogolyubov **and** Mitropolski Méthodes asympto- tiques en théorie des oscillations non linéaires", ... Voir le document complet

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### Determinability and state estimation for switched differential-algebraic equations

... of **algebraic** **equations** (static relations) in the description of the system because of which the state trajectories can only evolve on the sets defined by the **algebraic** **equations** of the active ... Voir le document complet

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### Loop equations from differential systems

... loop **equations** can be generalized beyond the context of matrix models, just as a set of **algebraic** relationships among the W n ...loop **equations** in the case g = sl 2 (C) on the Riemann ...cases, ... Voir le document complet

21

### Unfolded singularities of analytic differential equations

... [Ec]), **and** by J.-P. Ramis (cf. [Ra3]), **and** became one of the main tools in the local study of singularities of analytic dif- ferential ...coincide, **and** if extended to larger sectors, they may ... Voir le document complet

113

### Counting coloured planar maps: differential equations

... indeterminate **and** m is the number of monochromatic edges (edges whose endpoints have the same ...j **and** m (with q 6= 0, ...Nevertheless, **equations** with one catalytic variable are much better ... Voir le document complet

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### ARES: a crude but efficient approach to adaptive time integration for stiff Differential-Algebraic Equations

... −→ A good rule of thumb is to give I u a value close to that of the lower bound, which depends on the system. −→ A guess can be made from the behaviour of the system in the first timesteps : I u = I 1 **and** I max = ... Voir le document complet

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### Structural Analysis in Differential-Algebraic Systems and Combinatorial Optimization

... [7] **and** Nilsson [13] consider the SAP in relation with Modelica ...of **equations** of type ...analysing **and** de- tecting minimal bad-constrained ...fictitious **equations** is ...of **equations** ... Voir le document complet

7

### Backward Stochastic Differential Equations with no driving martingale, Markov processes and associated Pseudo Partial Differential Equations

... BSDEs **and** associated deterministic problems have been studied extensively, **and** innovations have been made in several ...maps, **and** proved that, under some continuity conditions on the coeﬃcients, the ... Voir le document complet

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### Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra

... form **and** transfer function form for SISO systems is easily generalized to multi-input multi-output (MIMO) linear time-invariant systems [3]; however, the corresponding generalization to nonlinear systems has been ... Voir le document complet

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### Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

... operator **and** H ( p ) = jpj **and** for convex initial sets were studied using dierent methods by Yip ...(iii) **Asymptotic** problems in phase transitions We present here an example of an **asymptotic** ... Voir le document complet

12

### Stratified discontinuous differential equations and sufficient conditions for robustness

... dinary **differential** **equations** for which the corresponding vector field has a set of singularities that **forms** a stratification of the state ...solutions **and** robustness with respect to external ... Voir le document complet

24

### Feedback Stabilization of Switched Differential Algebraic Systems

... Terms— **Differential**-**algebraic** **equations**, Mo- ments, Optimal Control, Switched Systems ...modeling **and** control of the dy- namics of complex systems is nowadays highly modu- larized, thus ... Voir le document complet

7

### Discontinuous Initial Value Problems for Funtional Differential-Algebraic Equations of Mixed Type

... purely **differential** systems where I is invertible **and** purely alge- braic systems where I = ...linear **equations**. By contrast, in [17] we considered smooth nonlinear **algebraic** **equations** ... Voir le document complet

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### Validated Simulation of Differential Algebraic Equations with Runge-Kutta Methods

... of **algebraic** variable enclosure ...state **and** **algebraic** values ...(a) **and** (b), it is apparent that even if state variable **and** **algebraic** variable evolves exponentially but quite ... Voir le document complet

31

### Systems of Differential-Algebraic Equations Encountered in the Numerical Modeling of High-Temperature Superconductors

... Similarly, we study the systems of DAE encountered in the numerical modeling of HTS devices using the FEM with edge elements for a 2-D model. We give the discretization of the **equations** in space **and** ... Voir le document complet

117

### New existence and uniqueness results for fractional differential equations

... In the following, we give the necessary notation **and** basic definitions **and** lem- mas which will be used in this paper. Definition 2.1: A real valued function f (t), t > 0 is said to be in the space C µ , ... Voir le document complet

10

### Singular Forward-Backward Stochastic Differential Equations and Emissions Derivatives

... cost, **and** market participants implement all the abate- ment measures whose costs are not greater than the cost of compliance ...producers **and** search for the existence of an equilibrium price for the ... Voir le document complet

34

### Stabilized Galerkin for transient advection of differential forms

... refinements **and** observe that the instabilities arising downstream of the discontinuity irremediably compromise the accuracy of the numerical solution **and** wreck the performance of the ...velocity **and** ... Voir le document complet

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