Results 201 to 210 of about 25,351 (238)

Congruence modules in higher codimension and zeta lines in Galois cohomology. [PDF]

Proc Natl Acad Sci U S A
Iyengar SB, Khare CB, Manning J, Urban E.   +3 more
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HuD impairs neuromuscular junctions and induces apoptosis in human iPSC and Drosophila ALS models. [PDF]

Nat Commun
Silvestri B, Mochi M, Mawrie D, de Turris V, Colantoni A, Borhy B, Medici M, Anderson EN, Garone MG, Zammerilla CP, Simula M, Ballarino M, Pandey UB, Rosa A.   +13 more
europepmc   +1 more source

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Ordinary Differential Inclusions with Internal and External Perturbations

Differential Equations, 2000
Let \(\mathbb{R}^ n\) be the space of column \(n\)-vectors with Euclidean norm \(|\cdot|\); \(\text{comp}[\mathbb{R}^ n]\) be the set of all non-empty bounded closed subsets of \(\mathbb{R}^ n\); \(B[u,r]\) be the closed ball with center \(u\) and radius \(r>0\). For \(V\subset \mathbb{R}^ n,\) \(\operatorname {co}V\) denote the convex hull of the set \
Bulgakov, A. I., Efremov, A. A., Panasenko, E. A.   +2 more
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Impulsive Boundary Value Problems for First-order Ordinary Differential Inclusions

Acta Mathematicae Applicatae Sinica, English Series, 2007
The authors prove existence results for the following class of boundary value problems \[ u'(t)+\lambda(t)u(t)\in F(t,u(t)), \quad\text{a. e. }t\in [0,T]\backslash \{t_{1},t_{2},\ldots,t_{m}\}, \] \[ \Delta u| _{t=t_{k}}=I_{k}(u(t_{k}^{-})), \quad k=1,2,\ldots,m, \] \[ u(0)-u(T)=\mu, \] where \(F:[0,T]\times\mathbb R^{n}\to P(\mathbb R^{n})\) is a ...
Liu, Yi-Cheng, Wu, Jun, Li, Zhi-Xiang
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Using solution sets for solving boundary value problems for ordinary differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
The authors consider a differential equation of the type \(\dot x = f(t,x)\) together with the boundary condition \(x \in S\), where \(S\) is a subset of the space \(C\) of continuous functions. The existence of a solution for such a problem is deduced from the properties of the set of solutions of an associated family of problems, parameterized by an ...
ANICHINI, GIUSEPPE, CONTI, GIUSEPPE, ZECCA, PIETRO   +2 more
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Transversality condition and optimization of higher order ordinary differential inclusions

Optimization, 2014
In the present paper, a Bolza problem of optimal control theory with a fixed time interval given by convex and nonconvex second-order differential inclusions (PH) is studied. Our main goal is to derive sufficient optimality conditions for Cauchy problem of sth-order differential inclusions. The sufficient conditions including distinctive transversality
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Three periodic solutions for an ordinary differential inclusion with two parameters

Annales Polonici Mathematici, 2012
Applying a nonsmooth version of a three critical points theorem of Ricceri, we prove the existence of three periodic solutions for an ordinary differential inclusion depending on two parameters.
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Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1990
An automated homotopy method, based on elementary estimates, is described for the computation of inclusion intervals for the first N eigenvalues of Sturm-Liouville problems with either separated or periodic boundary conditions. Interval arithmetic (with FORTRAN-SC subroutines) is used to deal with roundoff.
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Connection of the solution of a stochastic differential inclusion with the solution of an ordinary differential equation

Journal of Soviet Mathematics, 1993
Consider the stochastic differential inclusion \[ (1)\quad du(t)+A(t,u(t))dt+C(u(t))dt+B(t,u(t))dw(t)\ni 0,\quad u(0)=u_ 0, \] where A,B: [0,T]\(\times R\to R\), and C is a maximal monotone set-valued map from R into R. Under some regularity conditions, the author associates with this inclusion the family of ordinary differential equations \[ (2)\quad ...
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