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 作者：Boris Mordukhovich , Yongheng Shao 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.605-626ZBMATH 摘要：From the introduction: This paper is concerned with generalized differentiation of set-valued mappings (multifunctions) between Banach spaces.\par The main goal of this paper is to obtain comprehensive calculus results for Fr\'echet $\varepsilon$-coderivatives including the bas...
 作者：Juha Berkovits , Vesa Mustonen 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.627-638ZBMATH 摘要：Some generalized degree is used to prove the existence of weak solutions of the periodic-Dirichlet problem over $(0,2\pi)\times (0,\pi)$ for systems of semilinear wave equations of the form $$u_{tt}- u_{xx}= g(t,x,u)\tag1$$ under some nonresonance conditions which correspond to t...
 作者：Marino Badiale , Gabriella Tarantello 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.639-677ZBMATH 摘要：The paper provides existence and multiplicity results for the elliptic problem $$-\Delta u=u^{p-1}+bh(u-a),\ u>0\quad\text{in }\Omega,\ u=0\quad\text{on} \partial\Omega\tag1$$ where $a,b>0$, $\Omega$ is a bounded subset of $\bbfR^N$ and $h$ is the Heaviside function $h(s)=0$, if ...
 作者：Ravi P. Agarwal , Donal O'Regan 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.679-692ZBMATH 摘要：The authors give some existence results for the Hammerstein integral equation $$y(t)= h(t)+ \int^1_0k(t,s)f \bigl(s,y(s)\bigr) ds, \quad t\in [0,1],$$ in $C[0,1]$, where $f:[0,1] \times \bbfR^n$ is a Carath\'eodory function, and for $$y(t)= h(t)+ \int^1_0 w(s)k(t,s)f \bigl(s,y(s)...  作者：R.E. Kooij , A. Zegeling 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.693-715ZBMATH 摘要：This paper investigates the number and uniqueness of limit cycles appearing in two-dimensional predator-prey system:$$\dot x=x \varphi(x)- p(x)y, \quad \dot y=y [-\psi (y)+ p(x)]$$for some specific choice of functions:\par (i) \psi(y) =C_0, p(x)= x^n/(b+x^n), \varphi(x) a...  作者：Xinshu Ma 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (6), pp.717-723ZBMATH 摘要：Let X be a real Banach space and T,g selfmaps of X. Sufficient conditions of accretive type are given in order that R(T+g)=R(T)+R(g). The basic tool for these is the degree theory for compact maps.  作者：Zsolt Biro 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (5), pp.485-499ZBMATH 摘要：We investigate the behaviour of solutions of the nonlinear degenerate reaction-diffusion equation$$u_t= (u^m)_{xx}+ s_0u^p- a_0u^q,\tag1$$where m, p, q, s_0 and a_0 are positive parameters. We suppose mostly that m>1, p\ge 1, q\ge 1, and p\ne q. In the neighbo...  作者：Timothy J. Healey , Hansj\"org Kielh\"ofer 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (5), pp.501-531ZBMATH 摘要：The paper concerns boundary value problems for higher order semilinear hyperbolic equations, for which the following one is typical:$$u_{tt}+ \Delta^2u =a(\mu)u +h(\mu, x,u)\quad\text{in } \bbfR\times \Omega \tag 1u=\Delta u=0,\quad\text{on } \bbfR\times \partial \Omega, \q...
 作者：Yin Xi Huang 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (5), pp.533-537ZBMATH 摘要：We study the asymptotic behavior of positive solutions, as $q\to p$, of the problem $$-\Delta_pu= \lambda|u|^{q-2}u,\quad x\in\Omega,\quad u=0,\quad x\in\partial\Omega,$$ in a bounded domain $\Omega\subset\bbfR^N$ with smooth boundary, where $\Delta_pu=\text{div}(|\nabla u|^{p-2}...  作者：Osamu Kada , Anthony T.M. Lau , Wataru Takahashi 来源：[J].Nonlinear Anal., Theory Methods Appl., 1997, Vol.29 (5), pp.539-550ZBMATH 摘要：Let$S$be a semitopological semigroup, i.e.$S$is a semigroup with a Hausdorff topology such that for each$a\in S$the mappings$s\mapsto a\cdot s$and$s\mapsto s\cdot a$from$S$to$S$are continuous. Let$C(S)$be the Banach algebra of bounded real-valued functions on$S\$ ...