Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order
Mathematics, 2020 We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term.
Osama Moaaz +3 more
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Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we give sufficient conditions for the boundedness, uniform asymptotic stability and square integrability of the solutions to a certain fourth order non-autonomous differential equations with delay by using Lyapunov’s second method.
Erdal Korkmaz
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Oscillation of Nonlinear Neutral Delay Difference Equations of Fourth Order
Mathematics, 2023 This paper focuses on the study of the oscillatory behavior of fourth-order nonlinear neutral delay difference equations. The authors use mathematical techniques, such as the Riccati substitution and comparison technique, to explore the regularity and ...
Ramasamy Vimala +5 more
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Two maximum principles for a nonlinear fourth order equation from thin plate theory
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We develop two maximum principles for a nonlinear equation of fourth order that arises in thin plate theory. As a consequence, we obtain uniqueness results for the corresponding fourth order boundary value problem under Navier boundary conditions as ...
Cristian-Paul Danet
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On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
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Higher-Order Singular BVP Emerging in the Semiconductor Industry: Analysis and Computation of Solutions [PDF]
Journal of Applied and Computational MechanicsIn this work, we consider a class of non-linear, singular, non-self-adjoint, fourth-order, and singular BVP arising in the semiconductor industry. We investigate the theoretical and numerical results of solutions for the governing model corresponding to ...
Pratikshya Mainini +3 more
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Bouncing Cosmology in Fourth-Order Gravity
Universe, 2022 The Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric
Marcello Miranda +3 more
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The fourth order strongly noncanonical operators
Open Mathematics, 2018 It is shown that the strongly noncanonical fourth order ...
Baculikova Blanka, Dzurina Jozef
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Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations
Frontiers in Physics, 2019 This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani +4 more
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Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties
Mathematics, 2023 In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the ...
Amany Nabih +4 more
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