second-order nonlinear functions
Oscillation criteria for second order nonlinear dynamic equations
... hood of infinity will be excluded from our consideration. A solution x of (.) is said to be oscillatory if it is neither eventually positive nor eventually negative. Otherwise it is said to be nonoscillatory. There has ...
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Nonlinear Evolution Equations for Second-order Spectral Problem
... Suppose Ω is the basic interval of (1), for the sake of simplicity, we assume that if the potentials q p , , ϕ and all their derivatives with respect to x tend to zero, then Ω = −∞ +∞ ( , ) ; If they are all periodic T ...
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Second order optimality conditions for nonlinear programs and mathematical programs
... Of course, when c = , f is called a convex function. Otherwise, f is said γ -strongly convex. This class has been introduced by Polyak [] when γ = and g(θ ) = θ ( – θ ) and studied by many authors. Recently, a ...
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Periodic solutions of nonlinear second order difference equations
... is invertible if and only if no eigenvalue of A is an N th root of unity. Those eigenvalues may be complex conjugates, real and repeated, or real and distinct. We will consider each of those three cases after we examine ...
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The anisotropy of the second-order nonlinear susceptibility of RI3*3S8 crystals
... • Analogous comparison of arsenic triiodide calculations shows that for this molecule there is a major difference in the predicted hyperpolarisability anisotropy depending on the type of basis set used for the arsenic ...
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A Note on the Lie Algebra of the Invariants in the CBS Nonlinear Equation
... third order algebraic equations for which we can always eliminate the second degree term using a trivial translation of the dependent variable ψ (see ...
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On the Solutions of First and Second Order Nonlinear Initial Value Problems
... However, in the work of [10], it is introduced in a general form and requires the inverse Laplace transforms of some functions in main results of [10]. Motivated by the above- mentioned work, in this work, a new ...
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Second Order Duality for Continuous Programming Containing Support Functions
... A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is ...Under ...
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Resonant response functions for nonlinear oscillators with polynomial type nonlinearities
... weakly nonlinear oscillators with polynomial type ...response functions which define the steady state constant amplitude oscilla- tory response at the primary resonance and the associated ...response ...
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Second order nonlinear optical phenomena in strained silicon waveguides
... of nonlinear optical phenomena offered by silicon enables the realization of devices with functions such as amplification and lasing, wavelength conversion and all-optical processing ...
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Oscillation of Second Order Nonlinear Neutral Delay Differential Equations
... Professor, Department of Mathematics, Kakatiya Institute of Technology and Science, Yerragutta, Warangal, India 1 Professor, Department of Mathematics, Sridevi Women’s Engineering College, Gandipet, Hyderabad, India 2 ...
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Regularity for Solutions of Second Order Nonlinear Integrodifferential Functional Equations
... the nonlinear mapping f is locally Lipschitz ...on nonlinear term, the existence of weak solution can be shown though the uniqueness is not ...to second-order nonlinear ...
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Positive solutions for nonlinear second order differential equations with singularities
... that second order singular differential equations describe many problems in the applied sciences, such as the Brillouin focusing system and nonlinear ...
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Strong oscillations for second order nonlinear functional differential equations
... Oscillatory property of second order nonlinear differential equations.. with deviating argument Kexue.[r] ...
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Nonlinear Systems of Second-Order ODEs
... The existence of solutions will be obtained using a combination among the method of truncation, a priori bounded and Krasnosel’skii well-known result on fixed point indices in cones. The main con- tribution here is that ...
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Oscillation theorems for second order nonlinear neutral difference equations
... the second order neutral difference equations to a study of the oscillation properties of various types of first order difference inequalities, which clearly simplifies the investigation of the ...
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A Multigrid Solver for Discrete Thin Plate Splines
... the order of ...In order to overcome the those issues, a more capable of large data smoothing method were proposed in [RHA03],[HRA97],[HRA98], which can be viewed as a discrete thin plate ...first ...
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Application of similarity solution on gaseous pollutant problems
... unknown functions with specified arguments, and the determination of these unknown functions is not always ...of second-order partial differential equations can be found only for a small ...
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Adomian Decomposition Method for Solving Goursat's Problems
... [8] G. Adomian and R. Rach, “Modified Decomposition Solution of Nonlinear Partial Differential Equations,” Applied Mathematics Letters, Vol. 5, No. 6, November 1992, pp. 29-30. doi:10.1016/0893-9659(92)90008-W [9] ...
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Asymptotic behavior of second order nonlinear neutral dynamic equations
... This paper is concerned with oscillation and asymptotic behavior of a second-order neutral delay dynamic equation on an arbitrary time scale. We obtain two theorems which guarantee that every solution of ...
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