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1
Content available Positive solutions of boundary value problems with nonlinear nonlocal boundary conditions
Padhi S., Pati S., Hota D. K.
Opuscula Mathematica
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2016
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Vol. 36, no. 1
69--79
EN
We consider the existence of at least three positive solutions of a nonlinear first order problem with a nonlinear nonlocal boundary condition given by [formula] where r : [0,1] → [0, ∞) is continuous; the nonlocal points satisfy [formula] the nonlinear function ƒi and [formula] are continuous mappings from [0,1] x [0,∞) → [0,∞) for i = 1,2,... ,m and j = 1, 2,. .. , n respectively, and λ > 0 is a positive parameter.
2
Content available remote On asymptotic property of solutions of higher order functional differential equations
Padhi S., Qian C.
Fasciculi Mathematici
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2011
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Nr 46
87--104
EN
We establish sucient conditions for the linear func- tional differential equation of n-th order of the forms y(n)(t) + p(t)y(g(t)) = 0 and y(n)(t) - p(t)y(g(t)) = 0 to have property A and B, where p and g ϵ C ([σ, ∞), (0, ∞)), with g ϵ R and g(t) ≥ t, and n ≥ 2 is a positive integer
3
Content available remote Oscillation and asymptotic behaviour of solutions of second order neutral differential equations with positive and negative coefficients
Padhi S.
Fasciculi Mathematici
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2007
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Nr 38
105-114
EN
Sufficient conditions in terms of the coefficient functions for the oscillation and asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear neutral differential equations have been obtained. The results improve some earlier results.
4
Content available remote Asymptotic behaviour of oscillatory solutions of n-th order differnetial equations
Padhi S.
Fasciculi Mathematici
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2007
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Nr 37
49-55
EN
In this paper, sufficient conditions have been obtained so that all oscillatory solutions of the n-th order differential equations with quasi derivatives tend to zero as t tends to infinity.
5
Content available remote Necessary and sufficient conditions for the solutions of second order neutral differential equations to be oscillatory of tending to zero
Padhi S., Kar P. K., Nayak S. K.
Fasciculi Mathematici
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2004
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Nr 34
73-83
EN
In this paper, necessary and sufficient conditions have been obtained for a class of forced superlinear second order neutral differential equations of Emden-Fowler type such that every solution of the equation is either oscillatory or tends to zero as t -> niekończoność
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