Invariant foliations and stability in critical cases.
Invariant manifolds of a differentiable vector field
L2-Solutions of y" = q (t) y and a Functional Equation
L-A пары с рациональной зависимостью от спектральных параметров. Преобразование Дарбу
Landesman-Lazer type condition and nonlinearities with linear growth
Laplace Adomian decomposition method for solving a fish farm model
In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.
Least squares completions for nonlinear differential algebraic equations.
Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations
Linearly Implicit Extrapolation Methods for Differential-Algebraic Systems.
Local equivalence of some maximally symmetric -distributions II
We show the change of coordinates that maps the maximally symmetric -distribution given by solutions to the and generalised Chazy equation to the flat Cartan distribution. This establishes the local equivalence between the maximally symmetric and generalised Chazy distribution and the flat Cartan or Hilbert-Cartan distribution. We give the set of vector fields parametrised by solutions to the and generalised Chazy equation and the corresponding Ricci-flat conformal scale that bracket-generate...
Local method of nonlinear analysis
Lösung von Differentialgleichungen mit Splinefunktionen. Eine Störungstheorie. Tei 1: Divergenzaussagen.
Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species
The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.
Lyapunov type integral inequalities for certain differential equations.
Mathematical description of the phase transition curve near the critical point
In this paper, by applying a simple mathematical model imitating the equation of state, behaviour of the phase transition curve near the critical point is investigated. The problem of finding the unique vapour-liquid equilibrium curve passing through the critical point is reduced to solving a nonlinear system of differential equations.
Method of successive approximations for a certain nonlinear third order boundary value problem
Model reduction methods for chaotic systems
Modelling Tuberculosis and Hepatitis B Co-infections
Tuberculosis (TB) is the leading cause of death among individuals infected with the hepatitis B virus (HBV). The study of the joint dynamics of HBV and TB present formidable mathematical challenges due to the fact that the models of transmission are quite distinct. We formulate and analyze a deterministic mathematical model which incorporates of the co-dynamics of hepatitis B and tuberculosis. Two sub-models, namely: HBV-only and TB-only sub-models...
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations.
Monotonicity theorems for second order non-linear differential equations