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401,156
OSCILLATION CRITERIA FOR SECONDORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE
"... Abstract. Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form and ((x(t) + ax(t − τ1) − bx(t + τ2)) α) ′ ′ = q(t)x β (t − σ1) + p(t)x β (t + σ2), (x(t) − ax(t − τ1) + bx(t + τ2) α) ′ ′ = q(t)x β (t − σ1) + p(t)x β (t + σ2) where α a ..."
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Cited by 3 (0 self)
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Abstract. Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form and ((x(t) + ax(t − τ1) − bx(t + τ2)) α) ′ ′ = q(t)x β (t − σ1) + p(t)x β (t + σ2), (x(t) − ax(t − τ1) + bx(t + τ2) α) ′ ′ = q(t)x β (t − σ1) + p(t)x β (t + σ2) where α
Oscillation of Second Order Neutral Delay Differential Equations
"... We present new oscillation criteria for the second order nonlinear neutral delay differential equation( ..."
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We present new oscillation criteria for the second order nonlinear neutral delay differential equation(
Routing in a delay tolerant network
 Proceedings of ACM Sigcomm
, 2004
"... We formulate the delaytolerant networking routing problem, where messages are to be moved endtoend across a connectivity graph that is timevarying but whose dynamics may be known in advance. The problem has the added constraints of finite buffers at each node and the general property that no con ..."
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Cited by 612 (8 self)
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We formulate the delaytolerant networking routing problem, where messages are to be moved endtoend across a connectivity graph that is timevarying but whose dynamics may be known in advance. The problem has the added constraints of finite buffers at each node and the general property
Equationbased congestion control for unicast applications
 SIGCOMM '00
, 2000
"... This paper proposes a mechanism for equationbased congestion control for unicast traffic. Most besteffort traffic in the current Internet is wellserved by the dominant transport protocol, TCP. However, traffic such as besteffort unicast streaming multimedia could find use for a TCPfriendly cong ..."
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Cited by 832 (29 self)
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This paper proposes a mechanism for equationbased congestion control for unicast traffic. Most besteffort traffic in the current Internet is wellserved by the dominant transport protocol, TCP. However, traffic such as besteffort unicast streaming multimedia could find use for a TCP
Numerical integration of the Cartesian equations of motion of a system with constraints: molecular dynamics of nalkanes
 J. Comput. Phys
, 1977
"... A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated. The relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration. The method ..."
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Cited by 682 (6 self)
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A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated. The relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration. The method
Modeling and simulation of genetic regulatory systems: A literature review
 JOURNAL OF COMPUTATIONAL BIOLOGY
, 2002
"... In order to understand the functioning of organisms on the molecular level, we need to know which genes are expressed, when and where in the organism, and to which extent. The regulation of gene expression is achieved through genetic regulatory systems structured by networks of interactions between ..."
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Cited by 729 (15 self)
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, ordinary and partial differential equations, qualitative differential equations, stochastic equations, and rulebased formalisms. In addition, the paper discusses how these formalisms have been used in the simulation of the behavior of actual regulatory systems.
Research Article On the Oscillation of SecondOrder Neutral Delay Differential Equations
, 2010
"... Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Some new oscillation criteria for the secondorder neutral delay differential equation rtz′t ′ qtxσt 0, t ≥ t0 are established, where t0 1/rtdt ..."
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Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Some new oscillation criteria for the secondorder neutral delay differential equation rtz′t ′ qtxσt 0, t ≥ t0 are established, where t0 1
Impulses and Physiological States in Theoretical Models of Nerve Membrane
 Biophysical Journal
, 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
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Cited by 496 (0 self)
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ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing
The Science of Monetary Policy: A New Keynesian Perspective
 Journal of Economic Literature
, 1999
"... “Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder ..."
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Cited by 1809 (45 self)
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“Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5350 (67 self)
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was the exploration of variations around a point, within the bounds imposed by the constraints, in order to help characterize solutions and portray them in terms of ‘variational principles’. Notions of perturbation, approximation and even generalized differentiability were extensively investigated. Variational theory
Results 1  10
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401,156