Results 1-20 of 85
[ABSTRACT]
[KEYWORDS]
期刊文章
Fulltext
微分方程杂志
2005
[ABSTRACT] We consider the periodic solutions of the second order Hamiltonian system -x-lambda x = h (t) V'(x) with V being positive and superquadr...
[KEYWORDS] DIFFERENTIAL-EQUATIONS; EXISTENCE
[ABSTRACT]
[KEYWORDS]
期刊文章
Fulltext
微分方程杂志
2007
[ABSTRACT] In this paper we study the limit cycles of the Lienard differential system of the form x + f(x)(x) over dot + g(x) = 0, or its equivalent system (x...
[KEYWORDS] Lienard polynomial vector fields; Lienard systems; limit cycles; EQUATIONS
期刊文章
Fulltext
微分方程杂志
2014
[ABSTRACT] We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space H-1/2. This ensures the global well-posedness i...
[KEYWORDS] CAUCHY-PROBLEM; INITIAL DATA; WAVES; L-2; CIRCLE; FLUIDS
期刊文章
Fulltext
微分方程杂志
2012
[ABSTRACT] We prove that any classical Lienard differential equation of degree four has at most one limit cycle, and the limit cycle is hyperbolic if it exist...
[KEYWORDS] Lienard equations; Limit cycle
期刊文章
Fulltext
微分方程杂志
2013
[ABSTRACT] We consider a class of quasilinear Schrodinger equations which include the Modified Nonlinear Schrodinger Equations. A new perturbation approach is...
[KEYWORDS] Quasilinear elliptic equations; Critical exponent; Perturbation methods; NONLINEAR SCHRODINGER-EQUATION; ARBITRARY SPACE DIMENSION; LOCAL WELL-POSEDNESS; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE
期刊文章
Fulltext
微分方程杂志
2013
[ABSTRACT] We prove the global existence of strong solution to the initial-boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number...
[KEYWORDS] Boussinesq system; Global regularity; Initial-boundary value problem; TEMPERATURE-DEPENDENT VISCOSITY; RAYLEIGH-BENARD CONVECTION; WELL-POSEDNESS; PRANDTL NUMBER; PARABOLIC EQUATIONS; TERMS; MODEL
[ABSTRACT] In this paper we study an obstacle problem for Monge-Ampere type functionals, whose Euler-Lagrange equations are a class of fourth order equations,...
[KEYWORDS] Obstacle problem; Regularity; Strict convexity; Fourth order equations; Affine area functional; Abreu's equation; SCALAR CURVATURE; ABREUS EQUATION; TORIC SURFACES; REGULARITY; TRANSPORTATION; HYPERSURFACES; METRICS
期刊文章
Fulltext
微分方程杂志
2006
[ABSTRACT] For one and two spatial dimensions, we show the existence of the scattering operators for the nonlinear Schrodinger equation with exponential nonli...
[KEYWORDS] nonlinear Schrodinger equation; exponential growth; energy scattering; separation of localized mass; CAUCHY-PROBLEM; KLEIN-GORDON; SPACES; DECAY
[ABSTRACT] In this paper four-parameter unfoldings X, of symmetric elliptic Hamiltonians of degree four are studied. We prove that in a compact region of the ...
[KEYWORDS] unfolding symmetric Hamiltonian systems; Melnikov functions; Chebychev property; bifurcation diagram
期刊文章
Fulltext
微分方程杂志
2009
[ABSTRACT] Considering the Cauchy problem for the Korteweg-de Vries-Burgers equation u(t) + U(xxx) + epsilon vertical bar partial derivative(x)vertical bar...
[KEYWORDS] KdV-Burgers equation; Uniform global well-posedness; Inviscid limit behavior; SPACES; KDV
期刊文章
Fulltext
微分方程杂志
2003
[ABSTRACT] The paper deals with Lienard equations of the form <(x)over dot>= y, <(y) over dot>= P(x) + yQ(x) with P and Q polynomials of degree, r...
[KEYWORDS] NUMBER
期刊文章
Fulltext
微分方程杂志
2001
[ABSTRACT] The paper deals with Lienard equations of the form x = y, y = P(x) + yQ(x) with P and Q polynomials of degree respectively 3 and 2. Attention goes ...
[KEYWORDS] CRITICAL-POINTS; NUMBER; PERIOD
[ABSTRACT] Integrability and linearizability of the Lotka-Volterra systems are studied. We prove sufficient conditions for integrable but not linearizable sys...
[KEYWORDS] integrability; linearizability; Lotka-Volterra system; center problem
[ABSTRACT] By using the unit-cube decomposition to the frequency spaces, we study the Cauchy problem for the nonlinear Schrodinger equation and the nonlinear ...
[KEYWORDS] nonlinear Schrodinger equation; nonlinear Klein-Gordon equation; Cauchy problem; modulation spaces; M-p,q(s); small rough data; KLEIN-GORDON EQUATIONS; NONLINEAR SCHRODINGER-EQUATIONS; DEFINED SCATTERING OPERATORS; GINZBURG-LANDAU EQUATION; MODULATION SPACES; BESOV-SPACES; LOW-ENERGY; WAVE
期刊文章
Fulltext
微分方程杂志
2004
[ABSTRACT] Denote by Q(H) and Q(R) the Hamiltonian class and reversible class of quadratic integrable systems. There are several topological types for systems...
[KEYWORDS] cyclicity of elliptic segment loops; reversible quadratic Hamiltonian systems; HILBERT PROBLEM; PERIOD ANNULUS; VECTOR-FIELDS; LIMIT-CYCLES
[ABSTRACT] In this paper we establish analytic equivalence theorems of Poincare and Poincare-Dulac type for analytic non-autonomous differential systems based...
[KEYWORDS] Normal form; Non-autonomous differential system; Poincare theorem; LINEAR-DIFFERENTIAL SYSTEMS; NORMAL FORMS; DIFFEOMORPHISMS
期刊文章
Fulltext
微分方程杂志
2008
[ABSTRACT] In this paper, we study the Cauchy problem for the generalized finite-depth-fluid equation partial derivative(t)u - G(partial derivative(2)(x)u) + ...
[KEYWORDS] generalized finite-depth-fluid equation; generalized Korteweg-de Vries equation; generalized Benjamin-Ono equation; Cauchy problem; limit behavior; GINZBURG-LANDAU EQUATION; BENJAMIN-ONO-EQUATION; WELL-POSEDNESS; CAUCHY-PROBLEM; WAVE-EQUATION
[ABSTRACT] In this note, we consider the polyharmonic system (-Delta)(m) u = v(alpha), (-Delta)(m) v = in R-N with N > 2m and alpha >= 1, beta >= 1, ...
[KEYWORDS] Liouville theorem; polyharmonic systems; moving planes method; POSITIVE SOLUTIONS; EQUATIONS
Data Facts
Keyword
- 9 LIMIT-CYCLES
- 7 EQUATIONS
- 7 EXISTENCE
- 5 CAUCHY-PROBLEM
- 5 NUMBER
- 5 REGULARITY
- 4 PERTURBATIONS
- 4 SPACES
- 4 VECTOR-FIELDS
- 4 WELL-POSEDNESS
- next >
Date issued
- 23 2010 - 2014
- 38 2000 - 2009
- 18 1990 - 1999
- 6 1983 - 1989
Indexed Database
- 85 SCI(E)
ISSN
- 85 0022-0396
Content Type
- 85 Journal
Language
- 85 English