Results 11 to 20 of about 65,332 (306)
A cantilever equation with nonlinear boundary conditions [PDF]
We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.
Gennaro Infante, P. Pietramala
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Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities
The authors study the nonlinear parabolic problem \[ \begin{gathered} \frac {\partial u}{\partial t} =\Delta u + f(u) \text{ in } \Omega\times(0,T), \\ \frac {\partial u}{\partial \nu} = g(u) \text{ on } \partial\Omega\times(0,T), \\ u(\cdot,0) = u_0 \text{ in } \Omega, \end{gathered} \] where \(\Omega \subset \mathbb R^N\) has unit outer normal \(\nu\)
Arrieta, José M +2 more
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Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions
A necessary and sufficient condition for global existence of all positive classical solutions is given. The proof relies on the construction of suitable upper and lower solutions.
Wang, Shu, Deng, Jucheng, Shi, Jine
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Boundary oscillations and nonlinear boundary conditions [PDF]
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type ∂ u
Arrieta, Jose M., Bruschi, Simone M.
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In this paper, we offer a new approach of investigation and approximation of solutions of Caputo-type fractional differential equations under nonlinear boundary conditions.
Nazım I. Mahmudov +2 more
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A Note on a Beam Equation with Nonlinear Boundary Conditions [PDF]
The existence of multiple positive solutions for a fourth order beam equation under nonlocal and nonlinear boundary conditions is proved. The results are obtained by the use of fixed point index theory to a perturbed Hammerstein integral equation that is equivalent to the original problem.
Paolamaria Pietramala +1 more
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Asymptotic behavior of solutions to nonlinear parabolic equation with nonlinear boundary conditions
We show that solutions of a nonlinear parabolic equation of second order with nonlinear boundary conditions approach zero as t approaches infinity. Also, under additional assumptions, the solutions behave as a function determined here.
Diabate Nabongo, Theodore K. Boni
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The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary ...
Bashir Ahmad +2 more
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Random Differential Equations With Nonlinear Boundary Conditions
We discuss the first order random functional differential equation subject to nonlinear boundary conditions with discontinuity under the existence of extremal random solution.
P.G. Swami , D.S. Palimkar
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The investigation of solutions for nonlinear system of differential equations with boundary conditions [PDF]
In this paper we investigate the existence and approximation for nonlinear system of differential equations with boundary conditions by using the numerical-analytic method for investigate of a periodic solutions which is given by Samoilenko A. M.
R.N. Butris, Azzam salahdin younis
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