On the existence of solutions of one-dimensional fourth-order equations
UDC 517.9 Using variational methods and critical point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. Multiplicity results are also pointed out.
Saved in:
| Date: | 2020 |
|---|---|
| Main Authors: | Shokooh, S., Afrouzi , G. A., Hadjian, A. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/569 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On the existence of solutions of one-dimensional fourth-order equations
by: S. Shokooh, et al.
Published: (2020)
by: S. Shokooh, et al.
Published: (2020)
Existence of three weak solutions for fourth-order elastic beam equations on the whole space
by: M. R.H. Tavani
Published: (2020)
by: M. R.H. Tavani
Published: (2020)
Existence of three weak solutions for fourth-order elastic beam equations on the whole space
by: Tavani , M. R. H., et al.
Published: (2020)
by: Tavani , M. R. H., et al.
Published: (2020)
Existence results for a class of Kirchhoff-type systems with combined nonlinear effects
by: G. A. Afrouzi, et al.
Published: (2019)
by: G. A. Afrouzi, et al.
Published: (2019)
On the convergence of solutions of certain inhomogeneous fourth-order differential equations
by: Tunc, E.
Published: (2010)
by: Tunc, E.
Published: (2010)
On the convergence of solutions of certain inhomogeneous fourth-order differential equations
by: Tunç, E., et al.
Published: (2010)
by: Tunç, E., et al.
Published: (2010)
Asymptotic behavior of positive solutions of fourth-order nonlinear difference equations
by: Agarwal, R.P., et al.
Published: (2008)
by: Agarwal, R.P., et al.
Published: (2008)
Instability of solutions for certain nonlinear vector differential equations of fourth order
by: Tunç, C.
Published: (2009)
by: Tunç, C.
Published: (2009)
Multiple solutions to boundary-value problems for fourth-order elliptic equations
by: D. T. Luyen, et al.
Published: (2023)
by: D. T. Luyen, et al.
Published: (2023)
Asymptotic behavior of positive solutions of fourth-order nonlinear difference equations
by: Agarwal, P., et al.
Published: (2008)
by: Agarwal, P., et al.
Published: (2008)
Multiple solutions to boundary-value problems for fourth-order elliptic equations
by: Luyen, Duong Trong, et al.
Published: (2023)
by: Luyen, Duong Trong, et al.
Published: (2023)
On strong existence and continuous dependence for solutions of one-dimensional stochastic equations with additive Levy noise
by: Yu. Pilipenko
Published: (2012)
by: Yu. Pilipenko
Published: (2012)
Oscillation of fourth-order delay differential equations
by: Zhang, C., et al.
Published: (2013)
by: Zhang, C., et al.
Published: (2013)
Oscillation of fourth-order delay differential equations
by: C. Zhang, et al.
Published: (2013)
by: C. Zhang, et al.
Published: (2013)
On the number of zeros of oscillating solutions to third and fourth order equations with power nonlinearity
by: I. V. Astashova, et al.
Published: (2014)
by: I. V. Astashova, et al.
Published: (2014)
On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients
by: Foiad, Sobhi Obaid, et al.
Published: (1998)
by: Foiad, Sobhi Obaid, et al.
Published: (1998)
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic fourth order equations with L¹-data
by: Kovalevsky, A.A.
Published: (1999)
by: Kovalevsky, A.A.
Published: (1999)
On the improvement of summability of generalized solutions of the Dirichlet problem for nonlinear equations of the fourth order with strengthened ellipticity
by: Voitovich, M. V., et al.
Published: (2006)
by: Voitovich, M. V., et al.
Published: (2006)
Oscillation of certain fourth order functional differential equations
by: Agarwal, R.P., et al.
Published: (2007)
by: Agarwal, R.P., et al.
Published: (2007)
Oscillation of certain fourth-order functional differential equations
by: Agarwal, P., et al.
Published: (2007)
by: Agarwal, P., et al.
Published: (2007)
On the Solvability of a Fourth-Order Operator-Differential Equation with Multiple Characteristic
by: A. R. Aliev
Published: (2014)
by: A. R. Aliev
Published: (2014)
Tronquée Solutions of the Third and Fourth Painlevé Equations
by: Xia, X.
Published: (2018)
by: Xia, X.
Published: (2018)
Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations
by: Martínez, C., et al.
Published: (2016)
by: Martínez, C., et al.
Published: (2016)
Continuity of weak solutions to nonlinear fourth-order equations with strengthened ellipticity via Wolff potentials
by: M. V. Voitovych
Published: (2019)
by: M. V. Voitovych
Published: (2019)
Existence of local and global solutions of fractional order differential equations
by: Muslim, M., et al.
Published: (2011)
by: Muslim, M., et al.
Published: (2011)
On the Solvability of a Fourth-Order Operator-Differential Equation with Multiple Characteristic
by: Aliev, A. R., et al.
Published: (2014)
by: Aliev, A. R., et al.
Published: (2014)
On One Case of Existence of Homogeneous Solutions
by: Dorogovtsev, A. Ya., et al.
Published: (2002)
by: Dorogovtsev, A. Ya., et al.
Published: (2002)
Continuity in the parameter for the solutions of one-dimensional boundary-value problems for differential equations of higher orders in Slobodetsky spaces
by: H. O. Masliuk, et al.
Published: (2018)
by: H. O. Masliuk, et al.
Published: (2018)
Existence results for a class of Kirchhoff-type
systems with combined nonlinear effects
by: Afrouzi, G. A., et al.
Published: (2019)
by: Afrouzi, G. A., et al.
Published: (2019)
Continuity in the parameter for the solutions of one-dimensional
boundary-value problems for differential equations of higher orders in Slobodetsky spaces
by: Maslyuk, H. O., et al.
Published: (2018)
by: Maslyuk, H. O., et al.
Published: (2018)
Generalization of resonance equations for the Laguerre- and Legendre-type polynomials to the fourth-order equations
by: V. L. Makarov, et al.
Published: (2019)
by: V. L. Makarov, et al.
Published: (2019)
Generalization of resonance equations for the
Laguerre- and Legendre-type polynomials to the fourth-order equations
by: Bandyrskii, B. I., et al.
Published: (2026)
by: Bandyrskii, B. I., et al.
Published: (2026)
Solvability of the Neumann problem in a disk for the fourth order properly elliptic equations
by: K. O. Buriachenko, et al.
Published: (2014)
by: K. O. Buriachenko, et al.
Published: (2014)
Energy estimates of bounded solutions of the Dirichlet problem for a class of nonlinear fourth-order elliptic equations
by: Voitovich, M.V.
Published: (2012)
by: Voitovich, M.V.
Published: (2012)
Conditions for the existence of bounded solutions of one class of nonlinear differential equations
by: Hrod, I. M., et al.
Published: (2006)
by: Hrod, I. M., et al.
Published: (2006)
Existence of solutions to a boundary-value problem for nonlinear fractional order differential equation
by: A. N. Vitjuk, et al.
Published: (2016)
by: A. N. Vitjuk, et al.
Published: (2016)
The existence of a classical solution to the mixed problem for a linear second-order hyperbolic equation
by: Mitropolskiy, Yu. A., et al.
Published: (1993)
by: Mitropolskiy, Yu. A., et al.
Published: (1993)
Modeling of objects with distributed parameters of the fourth order
by: Ju. A. Klevtsov
Published: (2017)
by: Ju. A. Klevtsov
Published: (2017)
Neumann problem in a disk for fourth-order improperly elliptic equations
by: K. O. Buryachenko, et al.
Published: (2017)
by: K. O. Buryachenko, et al.
Published: (2017)
Neumann problem in a disk for fourth-order improperly elliptic equations
by: Buryachenko, K.O., et al.
Published: (2017)
by: Buryachenko, K.O., et al.
Published: (2017)
Similar Items
-
On the existence of solutions of one-dimensional fourth-order equations
by: S. Shokooh, et al.
Published: (2020) -
Existence of three weak solutions for fourth-order elastic beam equations on the whole space
by: M. R.H. Tavani
Published: (2020) -
Existence of three weak solutions for fourth-order elastic beam equations on the whole space
by: Tavani , M. R. H., et al.
Published: (2020) -
Existence results for a class of Kirchhoff-type systems with combined nonlinear effects
by: G. A. Afrouzi, et al.
Published: (2019) -
On the convergence of solutions of certain inhomogeneous fourth-order differential equations
by: Tunc, E.
Published: (2010)