Results 121 to 130 of about 9,235 (294)
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
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Bio‐inspired nanophotonics: Structural color, chirality, and resonance metasurfaces
InfoMat, EarlyView.A butterfly‐wing‐inspired anisotropic plasmonic flatband resonant metasurface. Insets, photo of the butterfly, Sasakia charonda, and the SEM image of its wing scale (above); the SEM image of the metasurface (below). Abstract The dazzling colors of butterfly wings and hummingbird feathers are not painted with pigments, but crafted by nature's invisible ...
Weihan Liu, Yao Liang, Din Ping Tsai
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Positive Solutions of a Nonlinear Parabolic Partial Differential Equation
Abstract and Applied Analysis, 2014 We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.
Chengbo Zhai, Shunyong Li
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New Drain Spacing Formulas Using the Variational Iteration Method
Irrigation and Drainage, EarlyView.ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas +2 more
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Viscosity solutions of fully nonlinear functional parabolic PDE
International Journal of Mathematics and Mathematical Sciences, 2005 By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth.
Liu Wei-an, Lu Gang
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The Kaohsiung Journal of Medical Sciences, EarlyView.ABSTRACT Sepsis‐induced acute lung injury (ALI) remains challenging to treat, with conventional anti‐inflammatory therapies offering limited efficacy. The lymphatic system is crucial for removing edema and inflammatory mediators, and its impairment can exacerbate lung injury.
He Wang +4 more
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Multimode Phonon Lasing via Self‐Induced Optical Coherent Pumping
Laser &Photonics Reviews, EarlyView.A silicon optomechanical nanobeam generates self‐sustained phonon lasing in multiple competing mechanical modes via self‐pulsing, an intrinsic optical modulation arising from cavity nonlinearity. This self‐organized mechanism enables robust multi‐frequency operation spanning periodic, quasi‐periodic, and chaotic regimes without external modulation. The
David Alonso Tomás +5 more
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Numerical approximations of difference functional equations and applications [PDF]
Opuscula Mathematica, 2005 We give a theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type. We apply this general result in the investigation of the stability of difference schemes generated by nonlinear first order partial
Zdzisław Kamont
doaj
Deterministic Fiber‐Optic Spectral Engineering Enables Three‐Color Multiplexed Two‐Photon Microscopy
Laser &Photonics Reviews, EarlyView.A simulation‐guided spectral‐engineering framework maps the nonlinear parameter space of a fiber laser platform to identify balanced three‐band excitation states. The resulting 960, 1080, and 1175 nm femtosecond pulses deliver nJ‐level energies for low‐cross‐talk chromatically multiplexed two‐photon microscopy.
Marvin Edelmann +5 more
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Nonlinear elliptic-parabolic equations and B-pseudomonotonicity
, 1996 Pseudomonotonicity seems to be the good notion to deal with convergence in nonlinear terms of partial differential equations. Lions [1] used two different definitions of pseudomonotonicity for elliptic and parabolic problems, and derived associated ...
Maitre, E., Witomski, P.
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