共查询到20条相似文献,搜索用时 13 毫秒
1.
This paper is devoted to time-global solutions of the Fisher-KPP equation in ℝ
N
:
where f is a C
2 concave function on [0,1] such that f(0)=f(1)=0 and f>0 on (0,1). It is well known that this equation admits a finite-dimensional manifold of planar travelling-fronts solutions.
By considering the mixing of any density of travelling fronts, we prove the existence of an infinite-dimensional manifold
of solutions. In particular, there are infinite-dimensional manifolds of (nonplanar) travelling fronts and radial solutions.
Furthermore, up to an additional assumption, a given solution u can be represented in terms of such a mixing of travelling fronts.
Accepted October 30, 2000?Published online March 21, 2001 相似文献
2.
SINGULAR PERTURBATIONS FOR A CLASS OF BOUNDARY VALUE PROBLEMS OF HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONSShiYuaning(史玉明)... 相似文献
3.
In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles.
We find a fractional Lagrangian L(x(t), where
a
c
D
t
α
x(t)) and 0<α<1, such that the following is the corresponding Euler–Lagrange
At last, exact solutions for some Euler–Lagrange equations are presented. In particular, we consider the following equations
where g(t) and f(t) are suitable functions.
D. Baleanu is on leave of absence from Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele-Bucharest, Romania. e-mail:
baleanu@venus.nipne.ro. 相似文献
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4.
E. N. Barron R. R. Jensen C. Y. Wang 《Archive for Rational Mechanics and Analysis》2001,157(4):255-283
The Aronsson-Euler equation for the functional
on W
g
1, ∞(Ω, ℝ
m
, i.e., W
1, ∞ with boundary data g, is
This equation has been derived for smooth absolute minimizers, i.e., a function which minimizes F on every subdomain. We prove in this paper that for m=1, n≧ 1, or n=1, m≧ 1 an absolute minimizer of F exists in W
g
1, ∞(Ω, ℝ
m
and for m= 1, n≧ 1 any absolute minimizer of F must be a viscosity solution of the Aronsson-Euler equation.
Accepted November 13, 2000?Published online April 23, 2001 相似文献
5.
S. H. Saker 《Nonlinear Oscillations》2011,13(3):407-428
Our aim is to establish some sufficient conditions for the oscillation of the second-order quasilinear neutral functional
dynamic equation
( p(t)( [ y(t) + r(t)y( t(t) ) ]D )g )D + f( t,y( d(t) ) = 0, t ? [ t0,¥ )\mathbbT, {\left( {p(t){{\left( {{{\left[ {y(t) + r(t)y\left( {\tau (t)} \right)} \right]}^\Delta }} \right)}^\gamma }} \right)^\Delta } + f\left( {t,y\left( {\delta (t)} \right)} \right. = 0,\quad t \in {\left[ {{t_0},\infty } \right)_\mathbb{T}}, 相似文献
6.
Michael Winkler 《Journal of Dynamics and Differential Equations》2005,17(2):331-351
The article deals with positive solutions of the Dirichlet problem for
7.
Stefano Bianchini 《Archive for Rational Mechanics and Analysis》2003,167(1):1-81
We consider the semidiscrete upwind scheme
8.
Stanislaus Maier-Paape Thomas Wanner 《Archive for Rational Mechanics and Analysis》2000,151(3):187-219
This paper addresses the phenomenon of spinodal decomposition for the Cahn-Hilliard equation
9.
Under certain assumptions on f and g we prove that positive, global and bounded solutions u of the non-autonomous heat equation
10.
Xinyu He 《Journal of Mathematical Fluid Mechanics》2007,9(3):398-410
Let
be the exterior of the closed unit ball. Consider the self-similar Euler system
11.
We find conditions for the unique solvability of the problem u
xy
(x, y) = f(x, y, u(x, y), (D
0
r
u)(x, y)), u(x, 0) = u(0, y) = 0, x ∈ [0, a], y ∈ [0, b], where (D
0
r
u)(x, y) is the mixed Riemann-Liouville derivative of order r = (r
1, r
2), 0 < r
1, r
2 < 1, in the class of functions that have the continuous derivatives u
xy
(x, y) and (D
0
r
u)(x, y). We propose a numerical method for solving this problem and prove the convergence of the method.
__________
Translated from Neliniini Kolyvannya, Vol. 8, No. 4, pp. 456–467, October–December, 2005. 相似文献
12.
M. M. Cavalcanti V. N. Domingos Cavalcanti R. Fukuoka J. A. Soriano 《Archive for Rational Mechanics and Analysis》2010,197(3):925-964
Let (M, g) be a n-dimensional ( ${n\geqq 2}
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