Results 121 to 130 of about 13,879,944 (380)
Positive solutions of integrodifferential equations [PDF]
International Journal of Stochastic Analysis, 1992 Integrodifferential equations of the forms urn:x-wiley:20903332:media:ista345783:ista345783-math-0001 are considered, where K ∈ C([0, ∞), [0, ∞)), p ∈ C([0, ∞), [0, ∞)) and q ∈ C((−∞, ∞), [0, ∞)). Necessary conditions and also sufficient conditions for the existence of positive solutions are established.
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Molecular Oncology, EarlyView.In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen +13 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider a four-point coupled boundary value problem for systems of the nonlinear semipositone fractional differential equation \begin{gather*}\left\{ \begin{array}{ll} \mathbf{D}_{0+}^\alpha u+\lambda f(t,u,v)=0,\quad ...
Chengjun Yuan +3 more
doaj +1 more source
Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems [PDF]
arXiv, 2009 We study the existence of positive and sign-changing multipeak solutions for the stationary Nonlinear Schroedinger Equation. Here no symmetry on $V$ is assumed. It is known that this equation has positive multipeak solutions with all peaks approaching a local maximum of the potential.
arxiv
, 2010 We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense.
Jinhua Wang, Hongjun Xiang, Zhigang Liu
semanticscholar +1 more source
Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients
Molecular Oncology, EarlyView.Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha +6 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we investigate nonlinear fractional differential equations of arbitrary order with advanced arguments \begin{equation*}\left\{\begin {array}{ll} D^\alpha_{0^+} u(t) +a(t)f(u(\theta(t)))=0 ...
Guotao Wang +2 more
doaj +1 more source
Characterization of circuits supporting polynomial systems with the maximal number of positive solutions [PDF]
arXiv, 2016 A polynomial system with $n$ equations in $n$ variables supported on a set $\mathcal{W}\subset\mathbb{R}^n$ of $n+2$ points has at most $n+1$ non-degenerate positive solutions. Moreover, if this bound is reached, then $\mathcal{W}$ is minimally affinely dependent, in other words, it is a circuit in $\mathbb{R}^n$.
arxiv
Sur les matrices non négatives et les solutions positives de certains systèmes linéaires [PDF]
, 1939 Potron
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Positive solutions for nonparametric anisotropic singular solutions
Opuscula MathematicaWe consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation. There is no parameter in the problem. Using variational tools and truncation and comparison techniques, we show the existence of at least two ...
Nikolaos S. Papageorgiou +2 more
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