On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations [PDF]
Criteria for the existence and uniqueness of a solution of a nonlocal second order boundary value problem are estabilished.
A. Lomtatidze, MALAGUTI, Luisa
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Regularizing effect of absorption terms in singular problems
We prove existence of solutions to problems whose model is $$\begin{cases} \displaystyle -\Delta_p u + u^q = \frac{f}{u^\gamma} & \text{in}\ \Omega, \newline u\ge0 &\text{in}\ \Omega,\newline u=0 &\text{on}\ \partial\Omega, \end{cases ...
Oliva, Francescantonio
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Modelling Axi-symmetric Travelling Waves in a Dielectric with Nonlinear Refractive Index [PDF]
.: We consider an isotropic dielectric with a nonlinear refractive index. The medium may be inhomogeneous but its spatial variation has an axial symmetry.
Stuart, C.
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Positive solutions for second-order differential equations with singularities and separated integral boundary conditions [PDF]
We study the existence of positive solutions for second-order differential equations with separated integral boundary conditions. The nonlinear part of the equation involves the derivative and may be singular for the second and third space variables. The
Abdella Kenzu+2 more
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A note on the singular Sturm-Liouville problem with infinitely many solutions
We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
doaj
In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to solve Thomas-Fermi equation which is defined in the semi-infinite domain and has singularity at $x = 0$ and its boundary condition occurs at infinity, have been
Delkhosh, M.+3 more
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Eigenvalue problems for singular multi-point dynamic equations on time scales
In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to
Abdulkadir Dogan
doaj
Mathematical Analysis on Current-Voltage Relations via Classical Poisson-Nernst-Planck Systems with Nonzero Permanent Charges under Relaxed Electroneutrality Boundary Conditions. [PDF]
Wang Y, Zhang L, Zhang M.
europepmc +1 more source
Solving Singular Boundary Value Problems Using Daftardar-Jafari Method [PDF]
In this paper, we apply the suggested iterative method by Daftardar and Jafari hereafter called Daftardar-Jafari method for solving singular boundary value problems.
Ahmadi, M., Jafari, H., Sadeghi, S.
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Competition between Cations via Classical Poisson-Nernst-Planck Models with Nonzero but Small Permanent Charges. [PDF]
Zhang M.
europepmc +1 more source