Global continua of periodic solutions to some difference-differential equations of neutral type
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The structure of Rabinowitz' global bifurcating continua for generic quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 1998Global bifurcation branches for boundary value problems of the type \[ \begin{gathered} -\sum_{i,j=1}^n a_{ij}(\cdot) u_{x_ix_j}(x) + \sum_{i=1}^n b_i(\cdot) u_{x_i}(x) + c(\cdot)u(x) = \lambda d(x) u(x) + f(\lambda,\cdot) \quad \text{in } \Omega \\ u(x) = 0 \quad\text{on } \partial \Omega \end{gathered} \] are studied.
Bryan Rynne
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Global Formulation of Thermodynamics of Continua
1980Throughout this paper ℝ denotes the set of all real numbers. The space E , whose elements x, y,..., we call spatial points, has the structure of a three-dimensional Euclidean point space. The translation space of E is denoted by E, and E is the set of all skew linear transformations from E into V.
Perzyna P, Lebon G
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Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations
SIAM Journal on Mathematical Analysis, 2012Consider the state-dependent delay differential equation (SDDDE) \[ x'(t) = f(x(t), x(t-\tau(t)), \sigma),\quad \tau'(t) = g(x(t), \tau(t), \sigma), \] where \(x(t) \in {\mathbb R}^N\), \(0 \leq \tau(t)
Qingwen Hu, Jianhong Wu, Xingfu Zou
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The structure of Rabinowitz' global bifurcating continua for problems with weak nonlinearities
Mathematika, 1997Summary: Rabinowitz' global bifurcation theorem shows that for a large class of nonlinear eigenvalue problems a continuum (i.e., a closed, connected set) of solutions bifurcates from the trivial solution at each eigenvalue (or characteristic value) of odd multiplicity of the linearized problem (linearized at the trivial solution).
Bari, Rehana, Rynne, Bryan P.
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Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1999In this Note, we study the existence and multiplicity of solutions, strictly positive or nonnegative having a dead core (where the solution vanishes) of a one-dimensional equation of eigenvalue type associated to a quasilinear operator with strong absorption with respect to the diffusion.
Jesús Ildefonso Díaz, Jesus Hernández
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Global behavior and asymptotic reduction of a chemical kinetics system with continua of equilibria
Journal of Mathematical Chemistry, 2005Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Kalachev, Leonid V., Schneider, Klaus R.
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Periodic solutions of systems with state-dependent delay of the form \[ \begin{aligned} \dot x(t) & = f(x(t), x(t-\tau(t), \sigma),\\ \dot \tau(t) & = g(x(t), \tau(t), \sigma) \end{aligned} \] are considered, and described in the form \((x,\tau,\sigma,p)\), where \(p\) is the minimal period and \(\sigma\) the parameter.
Hu, Qingwen, Wu, Jianhong
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Some considerations on the global properties of thermodynamic processes in continua
1980Recently R. Fosdick and J. Serrin [Arch. Rational Mech. Anal. 59 (1975), no. 2, 97--109; MR0386477 (52 #7331)] showed that, starting with the known heat-transfer inequality, $h·n (\theta^i-\theta^e)\geq 0$, some thermodynamical results due to C. Truesdell for homogeneous processes are valid for nonhomogeneous processes. We prove that the same extension
Raffaele Esposito, ROMANO, ANTONIO
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Formazione continua e cittadinanza globale
2004Il saggio ricostruisce le caratteristiche della formazione continua nella società complessa.
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