HALF-LINE
Benjamin Ono Equation on a Half Line
... We consider the initial-boundary value problem for Benjamin-Ono equation on a half-line. We study traditionally important problems of the theory of nonlinear partial di ff erential equations, such as global ...
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Boundary value problems of fractional q-difference equations on the half-line
... a half-line arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and models of gas pressure in a semi- infinite porous ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... Inverse spectral problems consist in recovering differential operators from their spectral characteristics. Such problems arise in many areas of science and engineering, i.e., quan- tum mechanics, geophysics, ...
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NECESSARY AND SUFFICIENT CONDITIONS FOR THE WAVE PACKET FRAMES ON POSITIVE HALF-LINE
... Abstract. In this paper, we consider wave packet systems as special cases of general- ized shift-invariant systems, a concept studied by Hern´ andez, Lebate and Weiss. The objective of the paper is to construct wave ...
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6. Bounded Solutions for Fractional Order Differential Equations on the Half-Line
... the half-line for fractional differential equations involving Caputo fractional derivative with a nonlinear term depending on the derivative, using the Schauder fixed point theorem combined with the ...
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Exponential dichotomy of difference equations in lp phase spaces on the half line
... (1.2) (we refer the readers to [8] for more details on the di ff erences between the expo- nential dichotomy of the differential equations defined on the half-line and on the whole line). Therefore, ...
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Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line
... a half-line was developed in book 13, where the pseudodifferential operator K on a half-line was introduced by virtue of the inverse Laplace ...
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Existence of solutions for a class of nonlinear boundary value problems on half-line
... on half-line occur in various applications such as in the study of the unsteady flow of a gas through semi-infinite porous medium, in analyzing the heat transfer in radial flow between circular disks, in ...
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Solvability for p-Laplacian boundary value problem at resonance on the half-line
... The existence of solutions for p-Laplacian boundary value problem at resonance on the half-line is investigated. Our analysis relies on constructing the suitable Banach space, defining appropriate operators ...
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Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half line
... As far as we know, recently, evolution equations of fractional order have attracted in- creasing attention, and we refer to the papers [–] and the references therein. However, many of those papers on the existence of ...
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Existence of positive mild solutions for a class of fractional evolution equations on the half line
... The equivalent integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing literature. By the monotone ...
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Successive iteration and positive solutions of a fractional boundary value problem on the half line
... In this paper, we study the existence of positive solutions for a nonlinear fractional boundary value problem on the half-line. Based on the monotone iterative technique, we obtain the existence of positive ...
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New results for perturbed second-order impulsive differential equation on the half-line
... By using a variational method and some critical points theorems, we establish some results on the multiplicity of solutions for second-order impulsive differential equation depending on two real parameters on the ...
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Solvability for nonlocal boundary value problems on a half line with dim(kerL)=2
... problem () are crucial since the differential operator Lu = (cu ) under the boundary con- ditions in () satisfies dim(ker L) = . The purpose of this paper is to establish the sufficient conditions for the existence of ...
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Unbounded Solutions of Second-Order Multipoint Boundary Value Problem on the Half-Line
... the half-line arise naturally in the study of radial solutions of nonlinear elliptic equations and models of gas pressure in a semi-infinite porous medium 11–13 and have been also widely studied 14–27 ...
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Fractional singular Sturm Liouville problems on the half line
... In most studies, the authors considered FSLPs on a bounded domain and the corre- sponding FSLOs which do not include the classical Sturm-Liouville Operators (SLOs) with integer order. Rivero et al. [] proposed new ...
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Positive solutions of fractional differential equations at resonance on the half-line
... However, the articles on the existence of solutions of fractional differential equations on the half-line are still few, and most of them deal with the problems under nonresonance conditions. And as far as ...
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An asymptotic property of the Camassa-Holm equation on the half-line
... In this article, we use the method of asymptotic density of the momentum to show that under the assumption of its uniqueness, at the momentum level, the solution approaches a train of peakons moving right with different ...
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Characterizations of p-Wavelets on Positive Half Line Using the Walsh-Fourier Transform
... positive half-line R + using the Walsh-Fourier transform and have established a necessary condition and a sufficient condition for the system {ψ j,k (x) = 2 j/2 ψ(2 j x k) : j ∈ Z , k ∈ Z + } to be a frame ...
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Vector Nonlinear Schrödinger Equation on the half-line
... in appropriate functional spaces so as to ensure that the calculations in this paper are meaningful (for details in the scalar case see for instance the "rigorous considerations" section in [18]). In particular, ...
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