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Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
Abstract In this paper we consider the existence of homoclinic solutions for the following second-order non-autonomous Hamiltonian system: (HS) q − L ( t ) q + W q ( t , q ) = 0 , where L ( t ) ∈ C (Expand
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Fast homoclinic solutions for some second order non-autonomous systems
Abstract This paper is concerned with the existence of homoclinic solutions for the following second order non-autonomous system (FHS) q ¨ + c q ˙ + U q ( t , q ) = 0 , where q ∈ R n , c ⩾ 0 is aExpand
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Periodic solutions for some second order differential equations with singularity
Abstract.In this paper, we will prove the existence of infinitely many harmonic and subharmonic solutions for the second order differential equation ẍ + g(x) = f(t, x) using the phase plane analysisExpand
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An application of variational methods to Dirichlet boundary value problem with impulses
Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsiveExpand
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Homoclinic Solutions for a Class of Second Order Hamiltonian Systems
AbstractIn this paper we consider the existence of homoclinic solutions for the following second order non-autonomous Hamiltonian system $${\ddot q}-L(t)q+\nabla W(t,q)=0,Expand
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Homoclinic Solutions for p-Laplacian Hamiltonian Systems with Combined Nonlinearities
In this paper we investigate the existence of homoclinic solutions for the following p-Laplacian Hamiltonian systems $$\begin{aligned} \frac{d}{dt}(|{\dot{u}}(t)|^{p-2}Expand
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Transformation of apatite phosphorus and non-apatite inorganic phosphorus during incineration of sewage sludge.
The recovery of phosphorus from incinerated sewage sludge ash (SSA) is assumed to be economical. Transformation from non-apatite inorganic phosphorus (NAIP) to apatite phosphorus (AP), which has aExpand
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Capturing RNA–protein interaction via CRUIS
Abstract No RNA is completely naked from birth to death. RNAs function with and are regulated by a range of proteins that bind to them. Therefore, the development of innovative methods for studyingExpand
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Variational approach to solutions for a class of fractional Hamiltonian systems
In this paper, we investigate the existence of infinitely many solutions for the following fractional Hamiltonian systems: (FHS) where α ∈ (1 ∕ 2,1), , , and are symmetric and positiveExpand
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Homoclinic solutions of some second order non-autonomous systems
Abstract In this paper we investigate the existence of homoclinic solutions for the following second order non-autonomous system q + A q − L ( t ) q + W q ( t , q ) = 0 , ( DS ) where A is anExpand
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