Recursos de colección
Project Euclid (Hosted at Cornell University Library) (198.174 recursos)
International Journal of Differential Equations
International Journal of Differential Equations
Adeyeye, Oluwaseun; Omar, Zurni
Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. This is observed in the extra computation required when determining the missing conditions in transforming BVPs to initial value problems. Although a number of numerical approaches are already existent in literature to solve nonlinear BVPs, this article presents a new block method with improved accuracy to solve nonlinear BVPs. A $(m+\mathrm{1})\mathrm{t}\mathrm{h}$ -step block method is developed using a modified Taylor series approach to directly solve fourth-order nonlinear boundary value problems (BVPs) where $m$ is the order of the differential equation under consideration. The schemes obtained were...
Suebcharoen, T.
This paper studies the behavior of a predator-prey model with switching
and stage-structure for predator. Bounded positive solution,
equilibria, and stabilities are determined for the system of delay
differential equation. By choosing the delay as a bifurcation
parameter, it is shown that the positive equilibrium can be
destabilized through a Hopf bifurcation. Some numerical simulations
are also given to illustrate our results.
Suebcharoen, T.
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results.
Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
We propose a fractional order model in this paper to describe the
dynamics of human immunodeficiency virus (HIV) infection. In the
model, the infection transmission process is modeled by a specific
functional response. First, we show that the model is mathematically
and biologically well posed. Second, the local and global stabilities
of the equilibria are investigated. Finally, some numerical
simulations are presented in order to illustrate our theoretical
results.
Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
We propose a fractional order model in this paper to describe the
dynamics of human immunodeficiency virus (HIV) infection. In the
model, the infection transmission process is modeled by a specific
functional response. First, we show that the model is mathematically
and biologically well posed. Second, the local and global stabilities
of the equilibria are investigated. Finally, some numerical
simulations are presented in order to illustrate our theoretical
results.
Boukhouima, Adnane; Hattaf, Khalid; Yousfi, Noura
We propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Second, the local and global stabilities of the equilibria are investigated. Finally, some numerical simulations are presented in order to illustrate our theoretical results.
Nindjin, Aka Fulgence; N’Guessan, Albin Tetchi; Okou, Hypolithe; Tia, Kessé Thiban
This article proposes nonlinear economic dynamics continuous in two dimensions of
Kaldor type, the saving rate and the investment rate, which are functions of
ecological origin verifying the nonwasting properties of the resources and
economic assumption of Kaldor. The important results of this study contain the
notions of bounded solutions, the existence of an attractive set, local and
global stability of equilibrium, the system permanence, and the existence of a
limit cycle.
Nindjin, Aka Fulgence; N’Guessan, Albin Tetchi; Okou, Hypolithe; Tia, Kessé Thiban
This article proposes nonlinear economic dynamics continuous in two
dimensions of Kaldor type, the saving rate and the investment rate,
which are functions of ecological origin verifying the nonwasting
properties of the resources and economic assumption of Kaldor. The
important results of this study contain the notions of bounded
solutions, the existence of an attractive set, local and global
stability of equilibrium, the system permanence, and the existence of
a limit cycle.
Nindjin, Aka Fulgence; N’Guessan, Albin Tetchi; Okou, Hypolithe; Tia, Kessé Thiban
This article proposes nonlinear economic dynamics continuous in two dimensions of Kaldor type, the saving rate and the investment rate, which are functions of ecological origin verifying the nonwasting properties of the resources and economic assumption of Kaldor. The important results of this study contain the notions of bounded solutions, the existence of an attractive set, local and global stability of equilibrium, the system permanence, and the existence of a limit cycle.
Atifi, K.; Balouki, Y.; Essoufi, El-H.; Khouiti, B.
A hybrid algorithm and regularization method are proposed, for the first time, to
solve the one-dimensional degenerate inverse heat conduction problem to estimate
the initial temperature distribution from point measurements. The evolution of
the heat is given by a degenerate parabolic equation with singular potential.
This problem can be formulated in a least-squares framework, an iterative
procedure which minimizes the difference between the given measurements and the
value at sensor locations of a reconstructed field. The mathematical model leads
to a nonconvex minimization problem. To solve it, we prove the existence of at
least one solution of problem and we propose two approaches: the first is based
on a...
Atifi, K.; Balouki, Y.; Essoufi, El-H.; Khouiti, B.
A hybrid algorithm and regularization method are proposed, for the first
time, to solve the one-dimensional degenerate inverse heat conduction
problem to estimate the initial temperature distribution from point
measurements. The evolution of the heat is given by a degenerate
parabolic equation with singular potential. This problem can be
formulated in a least-squares framework, an iterative procedure which
minimizes the difference between the given measurements and the value
at sensor locations of a reconstructed field. The mathematical model
leads to a nonconvex minimization problem. To solve it, we prove the
existence of at least one solution of problem and we propose two
approaches: the first is based on a Tikhonov...
Atifi, K.; Balouki, Y.; Essoufi, El-H.; Khouiti, B.
A hybrid algorithm and regularization method are proposed, for the first time, to solve the one-dimensional degenerate inverse heat conduction problem to estimate the initial temperature distribution from point measurements. The evolution of the heat is given by a degenerate parabolic equation with singular potential. This problem can be formulated in a least-squares framework, an iterative procedure which minimizes the difference between the given measurements and the value at sensor locations of a reconstructed field. The mathematical model leads to a nonconvex minimization problem. To solve it, we prove the existence of at least one solution of problem and we...
Isah, Abdulnasir; Phang, Chang; Phang, Piau
An effective collocation method based on Genocchi operational matrix for solving
generalized fractional pantograph equations with initial and boundary conditions
is presented. Using the properties of Genocchi polynomials, we derive a new
Genocchi delay operational matrix which we used together with the Genocchi
operational matrix of fractional derivative to approach the problems. The error
upper bound for the Genocchi operational matrix of fractional derivative is also
shown. Collocation method based on these operational matrices is applied to
reduce the generalized fractional pantograph equations to a system of algebraic
equations. The comparison of the numerical results with some existing methods
shows that the present method is an excellent mathematical tool...
Isah, Abdulnasir; Phang, Chang; Phang, Piau
An effective collocation method based on Genocchi operational matrix for
solving generalized fractional pantograph equations with initial and
boundary conditions is presented. Using the properties of Genocchi
polynomials, we derive a new Genocchi delay operational matrix which
we used together with the Genocchi operational matrix of fractional
derivative to approach the problems. The error upper bound for the
Genocchi operational matrix of fractional derivative is also shown.
Collocation method based on these operational matrices is applied to
reduce the generalized fractional pantograph equations to a system of
algebraic equations. The comparison of the numerical results with some
existing methods shows that the present method is an excellent
mathematical tool for finding...
Isah, Abdulnasir; Phang, Chang; Phang, Piau
An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented. Using the properties of Genocchi polynomials, we derive a new Genocchi delay operational matrix which we used together with the Genocchi operational matrix of fractional derivative to approach the problems. The error upper bound for the Genocchi operational matrix of fractional derivative is also shown. Collocation method based on these operational matrices is applied to reduce the generalized fractional pantograph equations to a system of algebraic equations. The comparison of the numerical results with some existing methods shows...
Iyase, S. A.; Imaga, O. F.
The aim of this paper is to derive existence results for a second-order singular
multipoint boundary value problem at resonance using coincidence degree
arguments.
Iyase, S. A.; Imaga, O. F.
The aim of this paper is to derive existence results for a second-order
singular multipoint boundary value problem at resonance using
coincidence degree arguments.
Iyase, S. A.; Imaga, O. F.
The aim of this paper is to derive existence results for a second-order singular multipoint boundary value problem at resonance using coincidence degree arguments.
Lukashiv, Taras; Malyk, Igor
In this article the problem of existence and uniqueness of solutions of
stochastic differential equations with jumps and concentration points are
solved. The theoretical results are illustrated by one example.
Lukashiv, Taras; Malyk, Igor
In this article the problem of existence and uniqueness of solutions of
stochastic differential equations with jumps and concentration points
are solved. The theoretical results are illustrated by one
example.