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analytic solutions

Stability and approximate analytic solutions of the fractional Lotka Volterra equations for three competitors

Stability and approximate analytic solutions of the fractional Lotka Volterra equations for three competitors

... Thus in the following, we mainly study the initial problem for the system ()-(). Specif- ically, we are going to study the asymptotic stability and approximate analytic solutions for the system with the ...

14

Analytic solutions of a simple advection-diffusion model of an oxygen transfer device

Analytic solutions of a simple advection-diffusion model of an oxygen transfer device

... of analytic solutions to a wide range of problems in soil ...an analytic solution to vertical flow in unsaturated, rooted soils with variable surface fluxes; the article contains an extensive list of ...

22

Analytic solutions of the Rolie Poly model in time dependent
shear

Analytic solutions of the Rolie Poly model in time dependent shear

... derive analytic solutions of the Rolie-Poly constitutive ...together solutions for constant rate shear in a variety of flow rate ...obtain solutions for interrupted shear, recoverable strain ...

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Analytic Solutions to Optimal Control Problems with Constraints

Analytic Solutions to Optimal Control Problems with Constraints

... In the unconstrained case, an optimal feedback control can be successfully obtained which seems to be a perfect result. For constrained optimal control problems the level of research is less complete. It is now well ...

14

Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

... traveling-wave solutions for nonlinear equations has played an important role in the study of nonlinear physical ...solitonic solutions of nonlinear equations by using a variety of powerful methods such as ...

6

Analytic solutions for Long’s equation and its generalization

Analytic solutions for Long’s equation and its generalization

... derive analytic solutions of Long’s equa- tion was initiated by the present author in Humi (2004, 2007, 2009, 2010, ...similar solutions and derived a formula for the attenuation of the gravity wave ...

9

Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement

Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement

... Abstract. In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are ...

9

A Review of Some Reference Analytic Solutions for the Magnetohydrodynamic Flow of Blood

A Review of Some Reference Analytic Solutions for the Magnetohydrodynamic Flow of Blood

... reference solutions for the magnetohydrodynamic flow of blood is proposed in this ...the solutions of Hartmann (1937), of Vardanyan (1973) and of Sud et al ...other solutions for people who would ...

14

On the propagation of diel signals in river networks using analytic solutions of flow equations

On the propagation of diel signals in river networks using analytic solutions of flow equations

... the analytic solution indicates that the time delay increases continuously as the river network ve- locity continuously decreases, so that the time delay can be predictable depending on stream ...

14

Methods for estimating uncertainty in factor analytic solutions

Methods for estimating uncertainty in factor analytic solutions

... uncertainty estimates contain good estimates of rotational uncertainty as demonstrated with synthetic data sets (dis- cussed in Sect. 4). However, DISP uncertainty estimates un- derestimate real uncertainties if data ...

17

Exact analytic solutions for nonlinear waves in cold plasmas

Exact analytic solutions for nonlinear waves in cold plasmas

... In view of the many technological applications of low-temperature bounded plas- mas, there has recently been an increased interest in this subfield of plasma physics. It is in this connection necessary to study ...

6

Analytic solutions of nonlinear neutral and advanced differential equatios

Analytic solutions of nonlinear neutral and advanced differential equatios

... LOKENATH OEBNATH DEPARTMENT OF MATHEMATICS UNIVERSITY OF CENTRAL FLORIDA ORLANDO, FLORIDA 32816 and.. SHAH DEPARTMENT OF MATHEMATICS UNIVERSITY OF KENTUCKY LEXINGTON, KENTUCKY 40506.[r] ...

8

The Deformation of Cylindrical Shells Subjected to Radial Loads Using Mixed Formulation and Analytic Solutions

The Deformation of Cylindrical Shells Subjected to Radial Loads Using Mixed Formulation and Analytic Solutions

... form analytic methods, has the advantage of leading to a quite simple computational solution by computer implementation and is fitted to other boundary conditions ...

5

Transformations and Seasonal Adjustment: Analytic Solutions and Case Studies

Transformations and Seasonal Adjustment: Analytic Solutions and Case Studies

... The model is cast in the state space form and the Kalman filter and smoother provide the pos- terior mean and variance of the nonseasonal component on the transformed scale. The inverse transformation is a biased ...

49

Some aspects of the local theory of generalized Dhombres functional equations in the complex domain

Some aspects of the local theory of generalized Dhombres functional equations in the complex domain

... formal solutions for this case are described in this work, for the situation where ϕ can be transformed into a function which is linearizable and local analytic in a neighbourhood of zero we also show that ...

14

The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

... wave solutions for the internal wave BO equation including the linear velocity term in matrix form are given by the bilinear ...the analytic solutions of the BO equation obtained in this paper and ...

7

A few remarks on the generalized Novikov equation

A few remarks on the generalized Novikov equation

... of solutions for all time using orbit invariants. For analytic initial data, the existence and uniqueness of analytic solutions for ...weak solutions [, ...

19

Analytic solution of Riccati equations occurring in open loop Nash multiplayer differential games

Analytic solution of Riccati equations occurring in open loop Nash multiplayer differential games

... present explicit analytic solutions of coupled Riccati matrix differential systems appearing in open-loop Nash games.. Two different cases are considered.[r] ...

8

An alternative theoretical approach for the derivation of analytic and numerical solutions to thermal Marangoni flows

An alternative theoretical approach for the derivation of analytic and numerical solutions to thermal Marangoni flows

... of solutions has been plotted in ...canonical analytic solution by Birikh [7] derived in ...corresponding analytic solutions for the temperature profile can be determined by substituting g 2 ...

27

Lakshmi - Manoj Generalized Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar

Lakshmi - Manoj Generalized Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar

... exact analytic solutions, while others required either analytical approximations or numerical techniques to be applied, among them: fractional Fourier and Laplace transforms [8, 41], heat-balance integral ...

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