Results 111 to 120 of about 178,237 (295)
On the existence of periodic solutions for certain differential equations [PDF]
Shouro Kasahara
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Stability and existence of a periodic solution
Many authors have discussed the existence of a periodic solution of a periodic system of differential equations under the assumption that the system has a bounded solution which has some kind of stability. LaSalle [Z] has discussed a more general case by considering an asymptotic stability property of motions. Hale [2] and the author [3] have discussed
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AZD9291 has shown promise in targeted cancer therapy but is limited by resistance. In this study, we employed metabolic labeling and LC–MS/MS to profile time‐resolved nascent protein perturbations, allowing dynamic tracking of drug‐responsive proteins. We demonstrated that increased NNMT expression is associated with drug resistance, highlighting NNMT ...
Zhanwu Hou +5 more
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Periodic solutions of Kadomtsev-Petviashvili
This paper concerns the global solutions of the Kadomtsev-Petviashvili (KP) equation \(u_ t+uu_ x+u_{xxx}=D^{-1}u_{yy},\) where \(D^{- 1}v=\int^{x}_{0}v dx,\) and \(u=u(x,y,t)\) is periodic in x and y. Let \(V_ m\) be the set of periodic functions v with \[ \| v\|_{V_ m}=\sum^{m}_{n=0}\sum^{n}_{\ell =0}\| D_ x^{n-\ell}(D_ x^{-1}D_ y)^{\ell_ v}\|
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A‐to‐I editing of miRNAs, particularly miR‐200b‐3p, contributes to HGSOC progression by enhancing cancer cell proliferation, migration and 3D growth. The edited form is linked to poorer patient survival and the identification of novel molecular targets.
Magdalena Niemira +14 more
wiley +1 more source
On a normal form of periodic solutions and secular solutions [PDF]
Vladimír Heinrich
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Periodic solutions of a delayed, periodic logistic equation
Consider the delay differential equation \[ {dN(t)\over dt}= N(t)[a(t)- b(t) N^p(t-\sigma(t))- c(t) N^q(t-\tau(t))],\tag{\(*\)} \] where \(a\), \(b\), \(c\), \(\tau\) are continuous \(\omega\)-periodic functions, \(p\) and \(q\) are positive constants.
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This real‐world study of ROS1+ NSCLC highlights fusion diversity, treatment outcomes with crizotinib and lorlatinib, and in vitro experiments with resistance mechanisms. G2032R drives strong resistance to ROS1‐targeted TKIs, especially lorlatinib. Fusion partner location does not affect overall survival to crizotinib or lorlatinib. Findings support the
Fenneke Zwierenga +8 more
wiley +1 more source
Remarks on periodic resonant problems with nonlinear dissipation
Luis Sanchez, Joao G. Silva
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