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In this note we present a very simple method of proving that some hyperbolic manifoldsM have finite sheeted covers with positive first Betti number.
      
Further we obtain a complete classification of refinement equations with positive coefficients (in the case of finitely many terms) with respect to the existence of continuous or integrable compactly supported solutions.
      
We establish the convergence theories of this class of generalized parallel multisplitting relaxation methods under the condition that the system matrix is an H-matrix with positive diagonal elements.
      
Oscillation of forced neutral differential equations with positive and negative coefficients
      
In this paper the forced neutral differential equation with positive and negative coefficients is considered, where f ε L1(t0, ∞) ∩ C ([t0, ∞),R), P,Q,R ε C ([t0, ∞), R+) and r,τ,σ∈(0, ∞).
      
Existence of positive solutions for neutral difference equations with positive and negative coefficients
      
In this paper the sufficient conditions for the existence of positive solutions of the neutral difference equations with positive and negative coefficients are established.
      
The notion of w-density for the graphs with positive weights on vertices and nonnegative weights on edges is introduced.
      
Global attractivity of neutral difference equations with positive and negative coefficients
      
Stability of perturbed neutral differential equations with positive and negative coefficients
      
In this paper the perturbed neutral differential equation with positive and negative coefficients is considered.
      
Geometric rigidity theorem for submanifolds with positive curvature
      
By using the discrete dynamical system determined by the stroboscopic map and Floquet theorem, an exact periodic solution with positive concentrations of substrate and predator in the absence of prey is obtained.
      
Integro-differential equations for the expected discounted penalty function are obtained when the Lévy process is a Brownian motion with positive drift and a compound Poisson process, respectively.
      
It is shown that the exhalative rock has basal characteristics of hydrothermal depositional formation of LREE>amp;gt;HREE, with positive δCe and negative δEu, which is different from the characteristics of marine exhalative rock.
      
They are applicable to verify the stability of linear systems for which the matrix in the right side have eigenvalues with positive real parts at certain specific time instants.
      
Each Laplace matrix corresponds to a weighted orgraph with positive arc weights.
      
The effect of these peptides on learning of albino rats in tests with positive (food) and negative (pain) reinforcement was studied.
      
R-LPS (12%) binding to porin was found to occur with positive cooperativity on two integrated structural regions of the R-LPS macromolecule, namely, core oligosaccharide and lipid A.
      
Circulating Immune Complexes in Blood of Patients with Positive Family History of Schizophrenia
      
 

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