Abstract
In this paper, we consider the third order differential equations with functional arguments by using Riccati inequality
References
[1] AHMAD, S.-LAZER, A. C.: On the oscillatory behavior of a linear third order differential equations, J. Math. Anal. Appl. 28 (1970), 681-689.10.1016/0022-247X(69)90021-3Suche in Google Scholar
[2] AKTAS, M. F.-TIRYAKI, A.-ZAFER, A.: Oscillation criteria for third-order nonlinear functional differential equations, Appl. Math. Lett. 23 (2010), 756-762.10.1016/j.aml.2010.03.003Suche in Google Scholar
[3] ERBE, L.: Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations, Pacific J. Math. 64 (1976), 369-385.10.2140/pjm.1976.64.369Suche in Google Scholar
[4] HANAN, M.: Oscillation criteria for third-order linear differential equations, Pacific J. Math. 11 (1961), 919-944.10.2140/pjm.1961.11.919Suche in Google Scholar
[5] NOUSSAIR, E. S.-SWANSON, C. A.: Comparison and Oscillation Theory of Linear Differential Equations. Mathematics in Science and Engineering, Academic Press, New York, 1968.Suche in Google Scholar
[6] PARHI, N.-DAS, P.: Asymptotic property of solutions of a class of third-order differential equations, Proc. Amer. Math. Soc. 110 (1990), 387-393.10.1090/S0002-9939-1990-1019279-4Suche in Google Scholar
[7] PARHI, N.-DAS, P.: On the oscillation of a class of linear homogeneous third order differential equations, Arch. Math. (Brno) 34 (1998), 435-443.Suche in Google Scholar
[8] PADHI, N.-PADHI, S.: On asymptotic behavior of delay-differential equations of third order, Nonlinear Anal. 34 (1998), 391-403.10.1016/S0362-546X(97)00600-7Suche in Google Scholar
[9] PADHI, N.-PADHI, S.: Asymptotic behavior of a class of third order delay-differential equations, Math. Slovaca 50 (2000), 315-333.Suche in Google Scholar
[10] USAMI, H.: Some oscillation theorem for a class of quasilinear elliptic equations, Ann. Mat. Pura Appl. (4) 175 (1998), 277-283.10.1007/BF01783687Suche in Google Scholar
[11] SAKER, S. H.: Oscillation criteria and Nehari types for third-order delay differential equations, Commun. Appl. Anal. 11 (2007), 451-468.Suche in Google Scholar
[12] TIRYAKI, A.-AKTAS, M. F.: Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68.10.1016/j.jmaa.2006.01.001Suche in Google Scholar
[13] XU, Z. T.-XING, H. Y.: Oscillation criteria of Kamenev-type for PDE with p-Laplacian, Appl. Math. Comput. 145 (2003), 735-745.10.1016/S0096-3003(03)00270-4Suche in Google Scholar
Mathematical Institute Slovak Academy of Sciences
Artikel in diesem Heft
- Finite Mixed Sums wih Harmonic Terms
- Packing of ℝ2 by Crosses
- On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
- Generalized Derivations as a Generalization of Jordan Homomorphisms Acting on Lie Ideals and Right Ideals
- Generalized Derivations on Lie Ideals and Power Values on Prime Rings
- On Monoids of Injective Partial Cofinite Selfmaps
- Extensions of Dynamic Inequalities of Hardy’s Type on Time Scales
- The Controlled Convergence Theorem for the Gap-Integral
- The Solvability of a Nonlocal Boundary Value Problem
- Oscillation Criteria for Third Order Differential Equations with Functional Arguments
- Asymptotic Behavior of Solutions of a Nonlinear Neutral Generalized Pantograph Equation with Impulses
- On Null Lagrangians
- Principal Eigenvalues for Systems of Schrödinger Equations Defined in the whole Space with Indefinite Weights
- Convergence of Series on Large Set of Indices
- On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
- Representation of Extendible Bilinear Forms
- Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)
- Topological Fundamental Groups and Small Generated Coverings
- A Relation between two Kinds of Norms for Martingales
- Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
- Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions
- Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach
Artikel in diesem Heft
- Finite Mixed Sums wih Harmonic Terms
- Packing of ℝ2 by Crosses
- On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
- Generalized Derivations as a Generalization of Jordan Homomorphisms Acting on Lie Ideals and Right Ideals
- Generalized Derivations on Lie Ideals and Power Values on Prime Rings
- On Monoids of Injective Partial Cofinite Selfmaps
- Extensions of Dynamic Inequalities of Hardy’s Type on Time Scales
- The Controlled Convergence Theorem for the Gap-Integral
- The Solvability of a Nonlocal Boundary Value Problem
- Oscillation Criteria for Third Order Differential Equations with Functional Arguments
- Asymptotic Behavior of Solutions of a Nonlinear Neutral Generalized Pantograph Equation with Impulses
- On Null Lagrangians
- Principal Eigenvalues for Systems of Schrödinger Equations Defined in the whole Space with Indefinite Weights
- Convergence of Series on Large Set of Indices
- On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
- Representation of Extendible Bilinear Forms
- Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)
- Topological Fundamental Groups and Small Generated Coverings
- A Relation between two Kinds of Norms for Martingales
- Linearization Regions in Singular Weakly Nonlinear Regression Models with Constraints
- Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions
- Identification of a Parameter in Fourth-Order Partial Differential Equations by an Equation Error Approach