Recursos de colección
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.
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.
Kohli, Ikjyot Singh; Haslam, Michael C.
We analyze, using a dynamical systems approach, the replicator dynamics for the
asymmetric Hawk-Dove game in which there is a set of four pure strategies with
arbitrary payoffs. We give a full account of the equilibrium points and their
stability and derive the Nash equilibria. We also give a detailed account of the
local bifurcations that the system exhibits based on choices of the typical
Hawk-Dove parameters $v$ and $c$ . We also give details on the connections between the results found in
this work and those of the standard two-strategy Hawk-Dove game. We conclude the
paper with some examples of numerical simulations that further illustrate some
global...
Kohli, Ikjyot Singh; Haslam, Michael C.
We analyze, using a dynamical systems approach, the replicator dynamics
for the asymmetric Hawk-Dove game in which there is a set of four pure
strategies with arbitrary payoffs. We give a full account of the
equilibrium points and their stability and derive the Nash equilibria.
We also give a detailed account of the local bifurcations that the
system exhibits based on choices of the typical Hawk-Dove parameters
$v$ and $c$ . We also give
details on the connections between the results found in this work and
those of the standard two-strategy Hawk-Dove game. We conclude the
paper with some examples of numerical simulations that further
illustrate some global behaviours of...
Kohli, Ikjyot Singh; Haslam, Michael C.
We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We give a full account of the equilibrium points and their stability and derive the Nash equilibria. We also give a detailed account of the local bifurcations that the system exhibits based on choices of the typical Hawk-Dove parameters $v$ and $c$ . We also give details on the connections between the results found in this work and those of the standard two-strategy Hawk-Dove game. We conclude the paper with some examples...
Misir, Adil; Mermerkaya, Banu
We compute explicitly the oscillation constant for Euler type half-linear
second-order differential equation having multi-different periodic
coefficients.
Misir, Adil; Mermerkaya, Banu
We compute explicitly the oscillation constant for Euler type half-linear
second-order differential equation having multi-different periodic
coefficients.
Misir, Adil; Mermerkaya, Banu
We compute explicitly the oscillation constant for Euler type half-linear second-order differential equation having multi-different periodic coefficients.
Katta, Ravinder; Sukavanam, N.
For an approximately controllable semilinear system, the problem of computing
control for a given target state is converted into an equivalent problem of
solving operator equation which is ill-posed. We exhibit a sequence of
regularized controls which steers the semilinear control system from an
arbitrary initial state ${x}^{\mathrm{0}}$ to an $\mathrm{ϵ}$ neighbourhood of the target state ${x}_{\tau }$ at time $\tau >\mathrm{0}$ under the assumption that the nonlinear function $f$ is Lipschitz continuous. The convergence of the sequences of regularized
controls and the corresponding mild solutions are shown under some assumptions
on the system operators. It is also proved that the target state corresponding
to the regularized...
Katta, Ravinder; Sukavanam, N.
For an approximately controllable semilinear system, the problem of
computing control for a given target state is converted into an
equivalent problem of solving operator equation which is ill-posed. We
exhibit a sequence of regularized controls which steers the semilinear
control system from an arbitrary initial state ${x}^{\mathrm{0}}$ to an $\mathrm{ϵ}$ neighbourhood of the
target state ${x}_{\tau }$
at time $\tau >\mathrm{0}$ under the assumption that the nonlinear
function $f$ is Lipschitz
continuous. The convergence of the sequences of regularized controls
and the corresponding mild solutions are shown under some assumptions
on the system operators. It is also proved that the target state
corresponding to the regularized control is close to...
Katta, Ravinder; Sukavanam, N.
For an approximately controllable semilinear system, the problem of computing control for a given target state is converted into an equivalent problem of solving operator equation which is ill-posed. We exhibit a sequence of regularized controls which steers the semilinear control system from an arbitrary initial state ${x}^{\mathrm{0}}$ to an $\mathrm{ϵ}$ neighbourhood of the target state ${x}_{\tau }$ at time $\tau >\mathrm{0}$ under the assumption that the nonlinear function $f$ is Lipschitz continuous. The convergence of the sequences of regularized controls and the corresponding mild solutions are shown under some assumptions on the system operators. It is also proved that...
Cengizci, Süleyman
In this work, approximations to the solutions of singularly perturbed
second-order linear delay differential equations are studied. We firstly use
two-term Taylor series expansion for the delayed convection term and obtain a
singularly perturbed ordinary differential equation (ODE). Later, an efficient
and simple asymptotic method so called Successive Complementary Expansion Method
(SCEM) is employed to obtain a uniformly valid approximation to this
corresponding singularly perturbed ODE. As the final step, we employ a numerical
procedure to solve the resulting equations that come from SCEM procedure. In
order to show efficiency of this numerical-asymptotic hybrid method, we compare
the results with exact solutions if possible; if not we compare with...
Cengizci, Süleyman
In this work, approximations to the solutions of singularly perturbed
second-order linear delay differential equations are studied. We
firstly use two-term Taylor series expansion for the delayed
convection term and obtain a singularly perturbed ordinary
differential equation (ODE). Later, an efficient and simple asymptotic
method so called Successive Complementary Expansion Method (SCEM) is
employed to obtain a uniformly valid approximation to this
corresponding singularly perturbed ODE. As the final step, we employ a
numerical procedure to solve the resulting equations that come from
SCEM procedure. In order to show efficiency of this
numerical-asymptotic hybrid method, we compare the results with exact
solutions if possible; if not we compare with the results...
Cengizci, Süleyman
In this work, approximations to the solutions of singularly perturbed second-order linear delay differential equations are studied. We firstly use two-term Taylor series expansion for the delayed convection term and obtain a singularly perturbed ordinary differential equation (ODE). Later, an efficient and simple asymptotic method so called Successive Complementary Expansion Method (SCEM) is employed to obtain a uniformly valid approximation to this corresponding singularly perturbed ODE. As the final step, we employ a numerical procedure to solve the resulting equations that come from SCEM procedure. In order to show efficiency of this numerical-asymptotic hybrid method, we compare the results with...
Singh, Brajesh Kumar; Kumar, Pramod
This paper deals with an alternative approximate analytic solution to
time fractional partial differential equations (TFPDEs) with
proportional delay, obtained by using fractional variational iteration
method, where the fractional derivative is taken in Caputo sense. The
proposed series solutions are found to converge to exact solution
rapidly. To confirm the efficiency and validity of FRDTM, the
computation of three test problems of TFPDEs with proportional delay
was presented. The scheme seems to be very reliable, effective, and
efficient powerful technique for solving various types of physical
models arising in science and engineering.
Singh, Brajesh Kumar; Kumar, Pramod
This paper deals with an alternative approximate analytic solution to
time fractional partial differential equations (TFPDEs) with
proportional delay, obtained by using fractional variational iteration
method, where the fractional derivative is taken in Caputo sense. The
proposed series solutions are found to converge to exact solution
rapidly. To confirm the efficiency and validity of FRDTM, the
computation of three test problems of TFPDEs with proportional delay
was presented. The scheme seems to be very reliable, effective, and
efficient powerful technique for solving various types of physical
models arising in science and engineering.
Singh, Brajesh Kumar; Kumar, Pramod
This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions are found to converge to exact solution rapidly. To confirm the efficiency and validity of FRDTM, the computation of three test problems of TFPDEs with proportional delay was presented. The scheme seems to be very reliable, effective, and efficient powerful technique for solving various types of physical models arising in science and engineering.
Su, Cheng-Min; Sun, Jian-Ping; Zhao, Ya-Hong
In this paper, we study the existence and uniqueness of solutions for the
following boundary value problem of nonlinear fractional differential equation:
$({}^{C}{D}_{\mathrm{0}+}^{q}u)(t)=f(t,u(t))$ , $t\in (\mathrm{0,1})$ , $u(\mathrm{0})={u}^{\mathrm{\prime }\mathrm{\prime }}(\mathrm{0})=\mathrm{0}, ({}^{C}{D}_{\mathrm{0}+}^{{\sigma }_{\mathrm{1}}}u)(\mathrm{1})=\lambda ({I}_{\mathrm{0}+}^{{\sigma }_{\mathrm{2}}}u)(\mathrm{1})$ , where $\mathrm{2}\mathrm{0}$ , and $\lambda \ne \mathrm{\Gamma }(\mathrm{2}+{\sigma }_{\mathrm{2}})/\mathrm{\Gamma }(\mathrm{2}-{\sigma }_{\mathrm{1}})$ . The main tools used are nonlinear alternative of Leray-Schauder type
and Banach contraction principle.
Su, Cheng-Min; Sun, Jian-Ping; Zhao, Ya-Hong
In this paper, we study the existence and uniqueness of solutions for the
following boundary value problem of nonlinear fractional differential
equation: $({}^{C}{D}_{\mathrm{0}+}^{q}u)(t)=f(t,u(t))$ , $t\in (\mathrm{0,1})$ , $u(\mathrm{0})={u}^{\mathrm{\prime }\mathrm{\prime }}(\mathrm{0})=\mathrm{0}, ({}^{C}{D}_{\mathrm{0}+}^{{\sigma }_{\mathrm{1}}}u)(\mathrm{1})=\lambda ({I}_{\mathrm{0}+}^{{\sigma }_{\mathrm{2}}}u)(\mathrm{1})$ , where $\mathrm{2}\mathrm{0}$ , and $\lambda \ne \mathrm{\Gamma }(\mathrm{2}+{\sigma }_{\mathrm{2}})/\mathrm{\Gamma }(\mathrm{2}-{\sigma }_{\mathrm{1}})$ .
The main tools used are nonlinear alternative of Leray-Schauder type
and Banach contraction principle.