Results 21 to 30 of about 703,061 (267)
New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 2021 In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
Osama Moaaz +4 more
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On a fourth‐order nonlinear Helmholtz equation
Journal of the London Mathematical Society, 2018 In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $Δ^2 u -βΔu + αu= Γ|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $Γ$. Using the dual method of Evequoz and Weth, we find solutions to this equation and establish some of their qualitative properties.
Denis Bonheure +2 more
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Oscillation of noncanonical fourth-order dynamic equations
Applied Mathematics in Science and Engineering, 2023 We present two sufficient conditions for the oscillatory behaviour of a class of noncanonical fourth-order dynamic equations on arbitrary time scales. An illustrative example is included to show that new criteria improve related results reported in the ...
Qingmin Liu +3 more
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Horizon thermodynamics in fourth-order gravity
Physics Letters B, 2017 In the framework of horizon thermodynamics, the field equations of Einstein gravity and some other second-order gravities can be rewritten as the thermodynamic identity: dE=TdS−PdV.
Meng-Sen Ma
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Axioms, 2023 This paper presents an investigation into the qualitative behavior of solutions for a specific class of fourth-order half-linear neutral differential equations.
Hail S. Alrashdi +4 more
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Energy in Fourth-Order Gravity
Annales Henri Poincaré5 figures Update on the 17/07/22: correcting typos, streamlining the paper, taking into account/answering interesting questions asked to the authors during conferences Update on the 23/01/2024 : correction of typos, modifications suggested by reviewers for ...
R. Avalos, J. H. Lira, N. Marque
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Fourth-order supergravity [PDF]
Nuclear Physics B, 1986 Abstract Starting from a manifestly supersymmetric superfield formalism, we construct the lagrangian of fourth-order supergravity in component field form. The super-Gauss-Bonnet theorem can be used to eliminate one of the three terms in the superfield lagrangian. We verify the super-Gauss- Bonnet theorem explicitly or the bosonic part of the theory.
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Envelope instability and the fourth order resonance
Physical Review Special Topics. Accelerators and Beams, 2014 The well-known envelope instability or the second order even collective mode [I. Hofmann, Phys. Rev. E 57, 4 (1998)] and the fourth order resonance 4σ=360° due to the nonlinear space charge effect in high intensity beams have been studied previously.
Chao Li, Ya Liang Zhao
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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations
Mathematics, 2020 The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations.
Omar Bazighifan, Mihai Postolache
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Fourth Order MCA and Chaos-Based Image Encryption Scheme
IEEE Access, 2019 This paper presents a fast and efficient cryptosystem for enciphering digital images. It employs two of the most prominent dynamical systems-chaotic maps and cellular automata.
Aslam Li +4 more
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