共查询到20条相似文献,搜索用时 208 毫秒
1.
G. A. Leonov 《Nonlinear dynamics》2014,78(4):2751-2758
In the present paper, a Fishing principle for the existence of homoclinic and heteroclinic trajectories is formulated and proved. This principle is applied to Lorenz-like systems and Phase locked loops. 相似文献
2.
Auxiliary principle and three-step iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities 总被引:1,自引:0,他引:1
An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle technique. The convergence of three-step iterative sequences generated by the algorithm is also proved. 相似文献
3.
IntroductionManyproblemsinmechanicsandmechanicalengineeringmaybeformulatedintoboundaryvalueproblemsforfirst_orsecond_orderellipticsystems.Lotsofscholarsandtheauthorsstudiedthem ( [1~ 6] ) .InthispaperwediscussthenonlinearRiemannproblemforgeneralsystemsofthefirst_orderlinearandquasi_linearequationsintheplane.1 TheNonlinearRiemannProblemforGeneralLinearEquationLetG beamultiplyconnecteddomaininthecomplexplaneEthatisboundedbyafinitenumberofclosed ,nonintersectingC1,αcurvesΓk,k=0 ,… ,mwit… 相似文献
4.
This paper studies existence of at least three positive doubly periodic solutions of a coupled nonlinear telegraph system with doubly periodic boundary conditions. First, by using the Green function and maximum principle, existence of solutions of a nonlinear telegraph system is equivalent to existence of fixed points of an operator. By imposing growth conditions on the nonlinearities, existence of at least three fixed points in cone is obtained by using the Leggett-Williams fixed point theorem to cones in ordered Banach spaces. In other words, there exist at least three positive doubly periodic solutions of nonlinear telegraph system. 相似文献
5.
董玉君 《应用数学和力学(英文版)》2001,22(9):1105-1108
In 1 982DINGTong_ren[1]discussedaperiodicBVPas x″ g(x) =p(t) ,( 1 ) x( 0 ) -x( 2π) =0 =x′( 0 ) -x′( 2π) ,( 2 )andgavethefollowing :Theorem 1 Assumethat1 )thereexistsanonnegativeintegermsuchthatm2 ≤g′(x) ≤ (m 1 ) 2 ,x∈R ( 3 ) 2 )p∈C( 0 ,2π) ,p( 0 ) =p( 2π) ,andoneofthefollowingcondition… 相似文献
6.
Arnaud Heibig 《Archive for Rational Mechanics and Analysis》1994,126(1):79-101
We study the Cauchy problem for systems of conservation laws which belong to the Temple class. The compensated-compactness theory is used to prove existence of solutions. Some uniqueness results are established by means of Holmgren's principle. 相似文献
7.
在各种材料中,出现的应力奇异性已为工程技术人员的科学研究提供了丰富的素材,本文的主要目的在于对粘弹性材料的应力奇异性进行探讨,利用对应性原理从弹性材料导出粘生材料的应力奇异分布。 相似文献
8.
IntroductionLetC(k- 1)2π =h(t) |h :R →Ris (k -1 )_thordercontinuousdifferentiableandh(t+ 2π) ≡h(t) , C2π =h(t) |h :R →Riscontinuousandh(t+ 2π) ≡h(t) , ‖h(t)‖ =supt∈ [0 ,2π] |h(t) | , ‖h(t)‖Pk- 1 =max‖h(t)‖ ,‖h′(t)‖ ,… ,‖h(k- 1) (t)‖ , x(m) (t+ ·) (θ) =x(m) (t+θ) θ∈R (m =0 ,1 ,2 ,… ,k-1 ) .Clearly ,x(m) (t + ·) ∈C2π, … 相似文献
9.
10.
On the thermodynamic consistency of the equivalence principle in continuum damage mechanics 总被引:1,自引:0,他引:1
We consider theories of continuum damage mechanics involving damage effect variables of different tensorial ranks. It turns out that orthotropic damage together with the use of Lemaitre's equivalence principle for the elastic part does not allow thermodynamic potentials such as the free enthalpy to exist. As the existence of these potentials is, however, a strict thermodynamic requirement, a theory employing orthotropic damage in this way is inconsistent. We show that the use of a rank-4 damage effect variable allows a consistent use of the equivalence principle. 相似文献
11.
B. C. Dhage 《Nonlinear Oscillations》2011,13(4):535-549
An existence result for a nonlinear nth-order ordinary random differential equation is proved under the Carathéodory condition. Two existence results for extremal
random solutions are also proved in the Carathéodory case and the discontinuous case of the nonlinearity involved in the equations.
Our investigations are carried out in the Banach space of continuous real-valued functions on closed bounded intervals of
the real line together with the application of a random version of the Leray–Schauder principle. 相似文献
12.
ALAIN BENSOUSSAN CYRILL ILIINE ALEXANDER KOMECH 《Archive for Rational Mechanics and Analysis》2002,165(4):317-345
A new class of one-dimensional relativistic nonlinear wave equations with a singular δ-type nonlinear term is considered.
The sense of the equations is defined according to the least-action principle. The energy and momentum conservation is established.
The main results are the existence of time-periodic finite-energy solutions, the existence of global solutions and soliton-type
asymptotics for a class of finite-energy initial data.
(Accepted May 28, 2002) Published online November 12, 2002
Communicated by G. FRIESECKE 相似文献
13.
In this paper, a non-variational version of a max-min principle is proposed, andan existence and uniqueness result is obtained for the nonlinear two-point boundaryvalue problenl u"+g(t.u)=f(t),u(0)=u(2π)=0 相似文献
14.
Giovanni Romano Marina Diaco Raffaele Barretta 《Continuum Mechanics and Thermodynamics》2010,22(3):177-187
The First Principle of Continuum Thermodynamics is formulated as a variational condition whose test fields are piecewise constant
virtual temperatures. Lagrange multipliers theorem is applied to relax the constraint of piecewise constancy of test fields.
This provides the existence of square summable vector fields of heat flow through the body fulfilling a virtual thermal work
principle, analogous to the virtual work principle in Mechanics. The issue of compatibility of thermal gradients is dealt
with and expressed by the complementary variational condition. Primal, complementary and mixed variational inequalities leading
to computational methods in heat-conduction boundary-value problems are briefly discussed. 相似文献
15.
Xinfu Chen Jong-Shenq Guo Chin-Chin Wu 《Archive for Rational Mechanics and Analysis》2008,189(2):189-236
This paper is concerned with the existence, uniqueness, and global stability of traveling waves in discrete periodic media
for a system of ordinary differential equations exhibiting bistable dynamics. The main tools used to prove the uniqueness
and asymptotic stability of traveling waves are the comparison principle, spectrum analysis, and constructions of super/subsolutions.
To prove the existence of traveling waves, the system is converted to an integral equation which is common in the study of
monostable dynamics but quite rare in the study of bistable dynamics. The main purpose of this paper is to introduce a general
framework for the study of traveling waves in discrete periodic media. 相似文献
16.
Wenzhang Huang 《Journal of Dynamics and Differential Equations》2012,24(3):633-644
We use a shooting method to show the existence of traveling wave fronts and to obtain an explicit expression of minimum wave speed for a class of diffusive predator?Cprey systems. The existence of traveling wave fronts indicates the existence of a transition zone from a boundary equilibrium to a co-existence steady state and the minimum wave speed measures the asymptotic speed of population spread in some sense. Our approach is a significant improvement of techniques introduced by Dunbar. The advantage of our method is that it does not need the notion of Wazewski??s set and LaSalle??s invariance principle used in Dunbar??s approach. In our approach, we convert the equations for traveling wave solutions to a system of first order equations by a ??non-traditional transformation??. With this converted new system, we are able to construct a Liapunov function, which gives an immediate implication of the boundedness and convergence of the relevant class of heteroclinic orbits. Our method provides a more efficient way to study the existence of traveling wave solutions for general predator?Cprey systems. 相似文献
17.
This paper is concerned with front-like entire solutions for monostable reaction-diffusion systems with cooperative and non-cooperative nonlinearities. In the cooperative case, the existence and asymptotic behavior of spatially independent solutions (SIS) are first proved. Further, combining a SIS and traveling fronts with different wave speeds and propagation directions, the existence and various qualitative properties of entire solutions are established by using the comparison principle. In the non-cooperative case, we introduce two auxiliary cooperative systems and establish a comparison theorem for the Cauchy problems of the three systems, and then prove the existence of entire solutions via using the comparison theorem, the traveling fronts and SIS of the auxiliary systems. Our results are applied to some biological and epidemiological models. To the best of our knowledge, it is the first work to study the entire solutions of non-cooperative reaction-diffusion systems. 相似文献
18.
This paper in concerned with the linear theory of materials with memory that possess a double porosity structure. First, the formulation of the initial-boundary-value problem is presented. Then, a uniqueness result is established. The semigroup theory of linear operators is used to prove existence and continuous dependence of solutions. A minimum principle for the dynamical theory is also derived. 相似文献
19.
In this paper, existence and uniqueness of the generalized global solution and the classical global solution to the initial value problem for a class of fourth-order nonlinear wave equations are studied in the fractional order Sobolev space using the contraction mapping principle and the extension theorem. The sufficient conditions for the blow up of the solution to the initial value problem are given. 相似文献
20.
平面Laplace外边值问题 总被引:5,自引:3,他引:2
证明平面调和函数的Dirichlet外问题解存在唯一的充要条件,在此基础上,确立外问题的等价边界积分方程,首次给出外域上的极值原理,对第一类Fredholm边界的积分方程的可解性进行了讨论。 相似文献