Results 41 to 50 of about 58,847 (264)
Singularity of solutions to singular SPDEs
Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the $d$-dimensional torus to be singular with respect to the law of the Gaussian measure induced by the linearised equation.
Hairer, Martin +2 more
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Existence and uniqueness of solutions to singular ODE’s
Archiv der Mathematik, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorka, Przemyslaw, Rybka, Piotr
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Asymptotic behavior of singular solutions to semilinear fractional elliptic equations
Electronic Journal of Differential Equations, 2014 In this article we study the asymptotic behavior of positive singular solutions to the equation $$ (-\Delta)^{\alpha} u+u^p=0\quad\text{in } \Omega\setminus\{0\}, $$ subject to the conditions $u=0$ in $\Omega^c$ and $\lim_{x\to0}u(x)=\infty ...
Guowei Lin, Xiongjun Zheng
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Singularities of the solution of the Cauchy problem
, 2017 In this chapter, we use the formula for the solution of the Cauchy problem in terms of the ramified integrals obtained in Chapter 6 and describe the singularities of the solution. © Springer International Publishing AG 2017.
Savin A., Sternin B.
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Twin Solutions to Singular Dirichlet Problems
Journal of Mathematical Analysis and Applications, 1999 The authors consider the Dirichlet second-order boundary value problem \[ y''+ \phi(t)[g(y(t))+ h(y(t))]= 0,\quad 0< t< 1,\quad y(0)= y(1)= 0,\tag{1} \] and establish the existence of two solutions \(y_1,y_2\in C[0,1]\cap C^2(0, 1)\) with \(y_1> 0\), \(y_2> 0\) on \((0,1)\). The nonlinearity in (1) may be singular at \(y= 0\), \(t= 0\) and/or \(t= 1\).
Agarwal, R.P., O'Regan, D.
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Iterative Solution of Singular Systems with Applications [PDF]
, 2014 This paper deals with efficient solution of singular symmetric positive semidefinite problems. Our motivation arises from the need to solve special problems of geotechnics, e.g. to perform upscaling analysis of geocomposites. In that and other applications we have to solve boundary problems with pure Neumann boundary conditions.
Blaheta, R. (Radim) +2 more
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FEBS Letters, EarlyView.CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens +8 more
wiley +1 more source
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Positive decreasing solutions of systems of second order singular differential equations
Journal of Inequalities and Applications, 2000 Singular differential systems of the type are considered in an interval , where , , , are positive constants and , , , are positive continuous functions on .
Kusano Takaŝi, Tanigawa Tomoyuki
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