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1.
In this paper, we introduce some new systems of generalized vector quasi-variational inclusion problems and system of generalized vector ideal (resp., proper, Pareto, weak) quasi-optimization problems in locally FC-uniform spaces without convexity structure. By using the KKM type theorem and Himmelberg type fixed point theorem proposed by the author, some new existence theorems of solutions for the systems of generalized vector quasi-variational inclusion problems are proved. As to its applications, we obtain some existence results of solutions for systems of generalized vector quasi-optimization problems.  相似文献   

2.
Some existence theorems of common and coincidence solutions for a class of moregeneral systems of functional equations arising in dynamic programming are shown.Theresults presented in this paper not only contain the corresponding results of[6,7]as specialcases,but also give an existence theorem of solutions for a class of functional equationssuggested by Wang recently.  相似文献   

3.
In this paper, we aim to find eventually vanished solutions, a special class of bounded solutions which tend to 0 as t → ±∞), to a Lienard system with a time-dependent force. Since it is not a Hamiltonian system with small perturbations, the well-known Melnikov method is not applicable to the determination of the existence of eventually vanished solutions. We use a sequence of periodically forced systems to approximate the considered system, and find their periodic solutions. Difficulties caused by the non- Hamiltonian form are overcome by applying the Schauder's fixed point theorem. We show that the sequence of the periodic solutions has an accumulation giving an eventually vanished solution of the forced Lienard system.  相似文献   

4.
Bifurcations of travelling wave solutions for Jaulent-Miodek equations   总被引:1,自引:0,他引:1  
By using the theory of bifurcations of planar dynamic systems to the coupled Jaulent-Miodek equations,the existence of smooth solitary travelling wave solutions and uncountably infinite many smooth periodic travelling wave solutions is studied and the bifurcation parametric sets are shown.Under the given parametric conditions,all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained.  相似文献   

5.
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   

6.
By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion (disclusion) problems are proved in FC-spaces without convexity structures. These results improve and generalize some results in recent publications from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions.  相似文献   

7.
The initial layer phenomena for a class of singular perturbed nonlinear system with slow variables are studied. By introducing stretchy variables with different quantity levels and constructing the correction term of initial layer with different “ thickness“, the Norder approximate expansion of perturbed solution concerning small parameter is obtained, and the “ multiple layer“ phenomena of perturbed solutions are revealed. Using the fixed point theorem, the existence of perturbed solution is proved, and the uniformly valid asymptotic expansion of the solutions is given as well.  相似文献   

8.
A class of periodic initial value problems for two-dimensional Newton- Boussinesq equations are investigated in this paper. The Newton-Boussinesq equations are turned into the equivalent integral equations. With iteration methods, the local existence of the solutions is obtained. Using the method of a priori estimates, the global existence of the solution is proved.  相似文献   

9.
This paper investigates the dynamics of a TCP system described by a first- order nonlinear delay differential equation. By analyzing the associated characteristic transcendental equation, it is shown that a Hopf bifurcation sequence occurs at the pos- itive equilibrium as the delay passes through a sequence of critical values. The explicit algorithms for determining the Hopf bifurcation direction and the stability of the bifur- cating periodic solutions are derived with the normal form theory and the center manifold theory. The global existence of periodic solutions is also established with the method of Wu (Wu, J. H. Symmetric functional differential equations and neural networks with memory. Transactions of the American Mathematical Society 350(12), 4799-4838 (1998)).  相似文献   

10.
In this paper,we study the existence unipueness and stability of the periodic solutionsfor fourth-order nonlinear nonhomogeneous periodic systems with slowly changingcoefficients by using the method of Liapunov Function.We obtain some sufficient conditions which guarantee the existence,uniqueness andasymptotic stability of the periodic solutions of these systems and estimate the extent towhich the coefficients are allowed to change.  相似文献   

11.
In this paper, the periodic viable trajectories of differential inclusions are discussed. Firstly, a simplified property of differential inclusions is given. Then, an existence theorem of periodic viable trajectories of differential inclusions in a finite dimensional space is proved. With the above results and Galerkin’s approximation, an existence theorem of periodic viable trajectories of partial differential inclusions in a Hilbert space is proved.  相似文献   

12.
I.IntroductionOwingtothefactthatthesystemwithwhicheconomics,biologyandsoonaredefinitelyconcernedtohaveuncertainty,includingthatcausedbyrestrictiononknowledge.asformathematicaltreatment,generallytheycanonlybedescribedbymeansofdifferentialinclusionsinsteadofdifferentialequations.Itiswell-knownthatthederivativex')ofasolutionx.)tothedifferentialequationx'(t)=f(t,x(t))inheritsthereqularityproperitiesofthemapfandthefunctionx(').Thisisnolongerthecasewithdifferentialinclusionsandisoneofthereasonswhyt…  相似文献   

13.
I.IntroductionLetHbeaHibertspaceendowedwithanorm11'11andaninnerproduct',.)andC(H)bethefamilyofallnonemptycompactsubsetsofH.LetT,A:H~C(H)besetvaluedmappings,g:H~Hbeasingle-valuedmappingand9:HxH~RU{ ac}besuchthatforeachfixedyeH,9.,y):H~RUt co}isaproperconvexlowersemicontinuousfunctiononHandg(H)ndomag'Y)#oforeachyeH,ThentheproblemoffindingxeH,ueT(x)andveA(x)suchthatg(x)edomag',x)and(u~v,y~g(x))39(g(x)'x)~9(y'x)(VYeH)(l.l)iscalledthegeneralizedstronglynonlinearquasivariationalinclusio…  相似文献   

14.
THEEXISTENCEOFPERIODICSOLUTIONSFORACLASSOFFUNCTIONALDIFFERENTIALEQUATIONSANDTHEIRAPPLICATIONZhaoJie-min(赵杰民);HuangKe-lei(黄克累)...  相似文献   

15.
BLOW-UP ESTIMATES FOR A NON-NEWTONIAN FILTRATION SYSTEM   总被引:2,自引:0,他引:2  
IntroductionandProblemintheResearchofToroidThestructureofpositivesolutionsforquasi_linearreaction_diffusionsystems (nonlinearNewtonianfiltrationsystems)andsemi_linearreaction_diffusionsystems (Newtonianfiltrationsystems)isahottopicinthestudyofnonlineard…  相似文献   

16.
We develop a singular perturbation technique to study the existence of periodic traveling wave solutions with large wave speed for a class of reaction-diffusion equations with time delay and non-local response. Unlike the classical singular perturbation method, our approach is based on a transformation of the differential equations to integral equations in a Banach space that reduces the singular perturbation problem to a regular perturbation problem. The periodic traveling wave solutions then are obtained by the use of Liapunov-Schmidt method and a generalized implicit function theorem. The general result obtained has been applied to a non-local reaction-diffusion equation derived from an age-structured population model with a logistic type of birth function.  相似文献   

17.
This paper is concerned with the existence and uniqueness of pseudo almost periodic solutions to a class of semilinear differential equations involving the algebraic sum of two (possibly noncommuting) densely defined closed linear operators acting on a Hilbert space. Sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those semilinear equations are obtained. An erratum to this article is available at .  相似文献   

18.
1 ProblemintheResearchofToroidImpulsivedifferentialequationisanewimportantbranchofdifferentialequation.In1989,[1],[2]systematicallysummarizedresearchworkaboutimpulsiveordinarydifferentialequations.Inrecentyears,therearemanyliteraturesdealingwiththeoscillatio…  相似文献   

19.
Jiang  D.  O'Regan  D.  Agarwal  R. P. 《Nonlinear Oscillations》2003,6(3):327-338
This paper deals with a new optimal existence theory for single and multiple positive periodic solutions of functional differential equations using a fixed-point theorem in cones. We illustrate our theory by examining several biomathematical models. The paper improves and extends previous results in the literature.  相似文献   

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