Results 101 to 110 of about 9,613,117 (241)
Solvable Systems of Linear Differential Equations
, 2009 The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations.
A. Durmus +18 more
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Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales
Abstract and Applied Analysis, 2012 This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form on time scales. By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases ...
Shao-Yan Zhang, Qi-Ru Wang
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Giant thermopower in superconducting heterostructures with spin-active interfaces
, 2014 We predict parametrically strong enhancement of the thermoelectric effect in metallic bilayers consisting of two superconductors separated by a spin-active interface.
Kalenkov, Mikhail S., Zaikin, Andrei D.
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Oscillation of solutions for forced nonlinear neutral hyperbolic equations with functional arguments
Electronic Journal of Differential Equations, 2011 This article studies the forced oscillatory behavior of solutions to nonlinear hyperbolic equations with functional arguments. Our main tools are the integral averaging method and a generalized Riccati technique.
Yutaka Shoukaku
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Abstract and Applied Analysis, 2011 Using an integral averaging method and generalized Riccati technique, by introducing a parameter β≥1, we derive new oscillation criteria for second-order partial differential equations with damping.
Run Xu, Yuhua Lu, Fanwei Meng
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Oscillation of a time fractional partial differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash +3 more
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A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
, 2009 Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and the method of solving a Riccati map by exploiting two ...
A.I. Bobenko +21 more
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Higher-order supersymmetric quantum mechanics
, 2004 We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order ...
C, David J Fernandez +1 more
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Abstract and Applied Analysis, 2014 We establish the oscillation criteria of Philos type for second-order half-linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique.
Quanxin Zhang, Shouhua Liu
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A new operational matrix based on Bernoulli polynomials [PDF]
, 2014 In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
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