Results 31 to 40 of about 6,844 (227)
Singularly Perturbed Oscillators with Exponential Nonlinearities [PDF]
Journal of Dynamics and Differential Equations, 2021 AbstractSingular exponential nonlinearities of the form$$e^{h(x)\epsilon ^{-1}}$$eh(x)ϵ-1with$$\epsilon >0$$ϵ>0small occur in many different applications. These terms have essential singularities for$$\epsilon =0$$ϵ=0leading to very different behaviour depending on the sign ofh.
S. Jelbart +3 more
openaire +4 more sources
, 2008 A singularly perturbed semilinear reaction-diffusion equation, posed in the unit square, is discretized on arbitrary nonuniform tensor-product meshes. We establish a second-order maximum norm a posteriori error estimate that holds true uniformly in the ...
Kopteva, Natalia
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Numerical Solution of Singularly Perturbed Two Parameter Problems using Exponential Splines
, 2021 In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines.
Padmaja, P. +9 more
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, 2012 Link to a related website: https://digital.library.adelaide.edu.au/dspace/bitstream/2440/77907/1/hdl_77907.pdf, Open Access via UnpaywallThis paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control ...
Shi, Peng +5 more
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Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
Abstract and Applied Analysis, 2013 This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
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Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball
, 2004 In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M +5 more
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Input-to-State Stability of Singularly Perturbed Control Systems with Delays
Journal of Applied Mathematics, 2013 We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly ...
Yongxiang Zhao, Aiguo Xiao, Li Li
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Axioms, 2019 The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered.
Olga Tsekhan
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Singularly perturbed rank one linear operators
Математичні Студії, 2021 The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
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Economic Record, EarlyView.We study the effects of heat and high temperature shocks on inflation in Australia using monthly, state‐level temperature anomaly data via two stages. In the first stage, we decompose temperature anomalies into orthogonal components using a structural vector autoregression with long‐run restrictions.
Tan Dat Huynh, Mengheng Li
wiley +1 more source