Results 41 to 50 of about 109 (105)
Wronskians and subspaces of certain fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 2, Page 275-292, 1980., 1980 The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.
G. J. Etgen, Willie E. Taylor Jr.
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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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Open MathematicsWe study linear differential equations whose coefficients consist of products of powers of natural logarithm and general continuous functions. We derive conditions that guarantee the non-oscillation of all non-trivial solutions of the treated type of ...
Šišoláková Jiřina
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Behavior of second order nonlinear differantial equations
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 1-12, 1978., 1978 Qualitative behavior of second order nonlinear differential equations with variable coefficients is studied. It includes properties such as positivity, number of zeroes, oscillatory behavior, boundedness and monotonicity of the solutions.
Rina Ling
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Lyapunov-type inequalities and eigenvalue bounds for the Airy operator
Demonstratio MathematicaWe study a second-order boundary value problem associated with the Airy operator. Lyapunov-type inequalities are established and applied to derive explicit lower bounds for the eigenvalues. Numerical examples are provided to illustrate the results.
Jleli Mohamed
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Oscillation of Nonlinear Neutral Delay Differential Equations [PDF]
, 2008 2000 Mathematics Subject Classification: 34K15, 34C10.In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C ...
Elabbasy, E. M., Hassan, T. S.
core
Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term [PDF]
, 2008 2000 Mathematics Subject Classification: 34C10, 34C15.Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0 ...
Elabbasy, E. M., Elhaddad, W. W.
core
Interval Oscillation for Second Order Nonlinear Differential Equations with a Damping Term [PDF]
, 2008 2000 Mathematics Subject Classification: 34C10, 34C15.It is the purpose of this paper to give oscillation criteria for the second order nonlinear differential equation with a damping term (a(t) y′(t))′ + p(t)y′(t) + q(t) |y(t)| α−1 y(t) = 0, t ≥ t0 ...
Hassan, Taher S.
core
Demonstratio MathematicaThis work presents a study of the oscillatory behavior of solutions to a general class of neutral differential equations of second order. Our study considers the noncanonical case and constructs oscillation criteria using several approaches, including ...
Albalawi Wedad +2 more
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Applied Mathematics in Science and EngineeringThis work investigates the oscillatory behavior of neutral differential equations in the compulsory nonlinear case. We consider the noncanonical situation and establish a multi-condition criterion that is an extension of previous non-neutral results.
Osama Moaaz +2 more
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