Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Sougata Dhar"'
Autor:
Sougata Dhar, Jessica Stewart Kelly
Publikováno v:
Proceedings of the American Mathematical Society. 151:647-661
In this paper, we establish lower bounds for the eigenvalues of even ordered quasilinear eigenvalue problems with indefinite weights. We first consider the case when the weight function is identically one and later generalize the results to any weigh
Autor:
Sougata Dhar, Qingkai Kong
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 203,, Pp 1-15 (2017)
We study linear fractional boundary value problems consisting of an $\alpha$-th order Riemann-Liouville fractional differential equation with 2
Externí odkaz:
https://doaj.org/article/f74be5d3cc444a978916d86a5f3a87b2
Autor:
Sougata Dhar, Qingkai Kong
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 243,, Pp 1-10 (2016)
In this article, we obtain Lyapunov-type inequalities for certain odd order linear boundary-value problems. Our inequalities involve integrals of both $q_+(t)$ and $q_-(t)$ in addition to that of $|q(t)|$. The Green's function for even order bound
Externí odkaz:
https://doaj.org/article/d7ff910dab6646e3a2de6cc6ef1a50e1
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 43, Pp 1-16 (2016)
We discuss boundary value problems for Riemann-Liouville fractional differential equations with certain fractional integral boundary conditions. Such boundary conditions are different from the widely considered pointwise conditions in the sense that
Externí odkaz:
https://doaj.org/article/fdbf25967ca540738d46ba44c462c02f
Publikováno v:
Journal of Difference Equations and Applications. 27:61-80
We derive Lyapunov-type inequalities for third-order half-linear difference equations. The results are significant as the existing work on Lyapunov-type inequalities for difference equations is lim...
Autor:
Sougata Dhar, Lingju Kong
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 43:3617-3633
In this article, we establish criteria for the existence of at least three solutions of a fractional differential equation with Dirichlet boundary condition using variational methods and critical point theory. We discuss some consequences of our main
Autor:
Jessica Stewart Kelly, Sougata Dhar
Publikováno v:
Differential Equations & Applications. :409-425
Autor:
Sougata Dhar, Lingju Kong
Publikováno v:
Mediterranean Journal of Mathematics. 18
By using the variational approach and critical point theory, we establish several criteria for the existence of at least three anti-periodic solutions for a higher order difference equation with p-Laplacian and which contains both advance and retarda
Autor:
Lingju Kong, Sougata Dhar
Publikováno v:
Differential Equations and Dynamical Systems. 30:861-872
By using variational methods and critical point theory, we obtain criteria for the existence of at least three solutions for a generalized fourth order nonlinear difference equation together with periodic boundary conditions. Various special cases of
Autor:
Sougata Dhar
Publikováno v:
Differential Equations & Applications. :329-339