全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Paolo Marcellini , Keith Miller
来源:[J].J. Differ. Equations(IF 1.48), 1997, Vol.137 (1), pp.1-53ZBMATH
摘要:It is well-known that the Dirichlet problem for the equation of prescribed mean curvature $$\text{div}((1+|Du|^2)^{-1/2}Du)+ h(x)= 0\quad\text{in }\Omega\subset\bbfR^n,\ u=\Phi\quad\text{on }\partial\Omega\tag1$$ has no classical solution if the curvature function $h$ is too big....
作者:Avner Friedman , Bei Hu , Yong Liu
来源:[J].J. Differ. Equations(IF 1.48), 1997, Vol.137 (1), pp.54-93ZBMATH
摘要:Let $\varepsilon\in (0,1]$ and let $\Omega_\varepsilon \subset\bbfR^2$ be the domain bounded by the lines $\{x=\pm a\}$, $\{y=b\}$ and $$\Gamma_\varepsilon:\ y_\varepsilon (x)=f_0(x)+ \varepsilon f_1(x,x/ \varepsilon)+ \varepsilon^2f_2(x,x/ \varepsilon,x/ \varepsilon^2)...
作者:Henryk \D{Z}o{\l}\c{a}dek
来源:[J].J. Differ. Equations(IF 1.48), 1997, Vol.137 (1), pp.94-118ZBMATH
摘要:As is well-known, the general integral of the last center case for a real quadratic field (which can generate three limit cycles after small perturbations) can be obtained by applying to the field a complex linear transformation $x={1\over 2i} (u-v)$, $y={1\over 2} (u+v)$ and tra...
作者:Avner Friedman , Bei Hu
来源:[J].J. Differ. Equations(IF 1.48), 1997, Vol.137 (1), pp.119-165ZBMATH
摘要:The paper is concerned with a free boundary value problem for the Laplace and heat equations. A part of the boundary varies in time and is rapidly oscillating in space at each time. The existence and uniqueness of the solution as well as its time asymptotics are established. Prec...
作者:L.C. Evans , M. Feldman , R.F. Gariepy
来源:[J].J. Differ. Equations(IF 1.48), 1997, Vol.137 (1), pp.166-209ZBMATH
摘要:The authors study the behaviour of solutions $u_p$ of the initial value problem $$u_{p,t}- \Delta_pu_p= 0\quad\text{in }\bbfR^n\times (0,\infty),\quad u_p=g\quad\text{in }\bbfR^n\times\{t= 0\},$$ $1\le p<\infty$, in the infinitely fast/infinitely slow diffusion limit $p\to\infty$...
作者:Xiaoxin Chen
来源:[J].Ann. Differ. Equations, 1997, Vol.13 (2), pp.107-118ZBMATH
摘要:The characteristic exponents of the periodic system $x''+p(t) x'+q(t) x=0$ are investigated. In the case when $q(t) \neq 0$ and $\int_{0}^{T} p(t) dt \neq 0$ some results are obtained. These results generalize the results of the autonomous system $x''+p x'+q x=0$.
作者:Zhaosheng Feng , Shuming Fei
来源:[J].Ann. Differ. Equations, 1997, Vol.13 (2), pp.119-124ZBMATH
摘要:Summary: We investigate the Schr\"odinger equation $$iu_t+ u_{xx}- u_{yy}+\beta|u|^2u= 0$$ and the Klein-Gordon equation $$u_{tt}- (u_{xx}+ u_{yy})+ \alpha^2u+ \beta|u|^2u= 0$$ and obtain a class of analytic solutions.
作者:Lin Guo , Guowei Chen
来源:[J].Ann. Differ. Equations, 1997, Vol.13 (2), pp.125-139ZBMATH
摘要:The authors consider a cubic Van der Pol equation as follows $$\ddot x-(b_{01} +b_{21} x^2+b_{02} \dot x+b_{12} x\dot x) \dot x+(1-b_{20} x-b_{30} x^2)x=0$$ with $b^2_{20} +4b_{30} <0$. Sufficient conditions for the existence and non-existence of limit cycles are given in terms o...
作者:Weizhang Huang
来源:[J].Ann. Differ. Equations, 1997, Vol.13 (2), pp.140-145ZBMATH
摘要:This note concerns the problem $$\varepsilon^2y''-f(x,y,y')=g(x,Ty),\qquad y(0)=A,\quad ay(1)+by'(1)=B,\tag 1$$ where $y\in\bbfR^n$, $Ty=\int_0^xK(t)y(t) dt$, $K(x)= \text{diag} (K_1(x),\cdots,K_n(x))$ and $\varepsilon>0$. Assumptions are given to prove the existence of a solutio...
作者:Wei Jiang
来源:[J].Ann. Differ. Equations, 1997, Vol.13 (2), pp.146-153ZBMATH
摘要:It is considered a deterministic optimal consumption-investment (or production-investment) model with two assets paying different interest. The portfolio evolution is described by linear equations with delay. The aim is to maximize the total terminal wealth. To find a solution, t...

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