Keywords: Electrohydrodynamic fluid flow; Hartmann electric number; Nonperturbative method; Convergence analysis; Strong nonlinearity; 65L10; 65L60; 34B16;
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Keywords: 65L10; 65L60; 34B16; Singular boundary value problems; Optimal quartic B-spline collocation; Convergence analysis; Error estimation; Equilibrium of the isothermal gas sphere; Thermal explosion;
Keywords: Matched asymptotic expansion method; Singular perturbation; Boundary value problem; Boundary layer; Local fractional derivative; 34A08; 34D15; 34B16; 34E05;
Keywords: 34B16; 34C25; 65G40; 37M20; Brillouin focusing beam equation; Computer-assisted proof; Fold bifurcation; Periodic solutions; Non-autonomous singular ODEs;
Keywords: 34C25; 34B16; 34B18; 47H11; Singular differential equation; Indefinite singularity; Periodic solution; Degree theory;
Keywords: 34B16; 34B40; 74S25; Thomas-Fermi equation; Fractional order of rational Chebyshev functions; Quasilinearization method; Collocation method; Nonlinear ODE; Semi-infinite domain;
Keywords: 34B16; 34E99; Singular Sturm-Liouville equation; Semilinear equation; Radon measure; Elliptic regularization; Classification of singularity;
Keywords: 34B16; 34B15; 47H30; 34C23Bifurcation; Degenerate elliptic
Keywords: 34A26; 34B16; 92C35; Ionic flow; Boundary value problem; Geometric singular perturbation;
Keywords: 34B18; 34B16; 34B08Number of bounded components; Positive solutions; Asymmetric superlinear indefinite problems; Bifurcation diagrams; High multiplicity; Poincaré maps; Large solutions
B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
Keywords: Derivative dependent source function; Uniform partition; Non-uniform partition; Convergence analysis; Shallow membrane cap; Thermal explosion; 65L10; 65L60; 34B16;
Existence and uniqueness of solutions to Orlicz Minkowski problems involving 0â¯<â¯pâ¯<â¯1
Keywords: 34B16; 34C25; 52A40; Orlicz Minkowski problem; Variational method;
Weighted p-Laplacian problems on a half-line
Keywords: 34L30; 34B16; 34B24p-Laplacian; Singular eigenvalue problems; Prüfer angle; Indefinite weight
Laguerre pseudospectral approximation to the Thomas-Fermi equation
Keywords: 34B16; 34B40; 65N35; Thomas-Fermi equation; Pseudospectral; Laguerre function; Singular; Initial slope;
Existence of radial solutions to biharmonic k-Hessian equations
Keywords: 34B08; 34B16; 34B40; 35G30k-Hessian type equations; Biharmonic boundary value problems; Existence of solutions; Non-existence of solutions
A multiplicity result for periodic solutions of second order differential equations with a singularity
Keywords: 34C25; 34B16; 37J10Multiple periodic solutions; Repulsive singularity; Poincaré–Birkhoff theorem
Existence of the second positive radial solution for a pp-Laplacian problem
Keywords: 34B08; 34B16; 35J25pp-Laplacian; Exterior domain; Radial solution; Upper and lower solutions; Fixed point index
Bifurcation of sign-changing solutions for one-dimensional pp-Laplacian with a strong singular weight: pp-superlinear at ∞∞
Keywords: 34B09; 34B16; 34C23pp-Laplace equation; Singular weight; Leray–Schauder degree; Bifurcation; Positive solutions; Sign-changing solutions
Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations
Keywords: 34B10; 34B16; 34B18Nonlinear; Second order; Singular differential equation; Nonlocal problem; Positive solution
Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics
Keywords: 34B16; 34B40Singular ordinary differential equation of second order; Time singularities; Unbounded domain; Strictly increasing solutions
Existence of multiple positive solutions of singular nonlinear boundary value problems
Keywords: 34B15; 34B16; 34B18Singular nonlinear boundary value problems; Multiple solutions; Shooting
The existence of countably many positive solutions for singular multipoint boundary value problems
Keywords: 34B10; 34B16; 34B18Positive solutions; Multipoint boundary value problems; Fixed-point index theory; Leggett–Williams’ fixed-point theorem
Existence of positive solutions for 2n2nth-order singular semipositone differential equations with Sturm–Liouville boundary conditions
Keywords: 34B15; 34B16; 34B182n2nth-order differential equation; Singular boundary value problem; Semipositone; Positive solution; Fixed point index
Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions
Keywords: 34B10; 34B16; 34B18Positive solution; Singular higher order differential equation; Nonlocal boundary conditions; Fixed point index
A generalized anti-maximum principle for the periodic one-dimensional pp-Laplacian with sign-changing potential
Keywords: 34B16; 34C25; 34B15; 34B18Anti-maximum principle; Periodic problem; Dirichlet problem; pp-Laplacian; Singular problem
On a criterion for discrete or continuous spectrum of pp-Laplace eigenvalue problems with singular sign-changing weights
Keywords: 34B09; 34B16; 49R50Spectrum; Sign-changing weight; pp-Laplacian; Eigenvalue problem; Regularity
Periodic solutions for damped differential equations with a weak repulsive singularity
Keywords: 34B16; 34B18; 34B27Positive periodic solutions; Weak singularity; Green’s function; Schauder’s fixed point theorem
Periodic solutions of some fourth-order nonlinear differential equations
Keywords: 34B15; 34B16; 34C25Periodic solutions; Fisher–Kolmogorov equation; Swift–Hohenberg equation; Mawhin’s continuation theorem
Sinc-collocation method for solving the Blasius equation
Keywords: 34B16; 34B40; 65L60; 65M70Blasius equation; Sinc functions; Collocation method; Boundary layer equations; Exponential rate
An iterative method for a class of quasilinear boundary value problems
Keywords: 65L05; 34B16; Quasilinear ordinary differential equation; Boundary value condition; Solution; Monotonically iterative technique;
Existence of positive solutions for singular boundary value problems involving the one-dimensional p-Laplacian
Keywords: 34B16; 34B18; 35J25Singular boundary value problem; Positive solution; pp-Laplacian; Multiplicity; Nonexistence; Global continuation theorem
Positive and dead core solutions of singular BVPs for third-order differential equations
Keywords: 34B16; 34B18; Singular boundary value problem; Third-order differential equation; Positive solution; Dead core solution; Dead core; Existence; Ï-Laplacian;
A multiplicity result for generalized Laplacian systems with multiparameters
Keywords: 34B08; 34B16; 35J25General Laplacian system; Singular boundary value problem; Vector parameter; Upper and lower solutions; Fixed point index theory
Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line
Keywords: 34B16; 34B18; 34B40; 47H11Positive solutions; Singular boundary value problems; Fixed point index; Half-line
Existence of positive solutions for fourth-order mm-point boundary value problems with a one-dimensional pp-Laplacian operator
Keywords: 34B15; 34B16; 34B18Multi-point boundary value problems; Krasnoselskii’s fixed point theorem; One-dimensional pp-Laplacian operator; Lower semi-continuous functions
Positive solutions of singular three-point boundary value problems for second-order differential equations
Keywords: 34B10; 34B16; 47H11Positive solutions; Three-point boundary value problem; Singular-second-order differential equation; Fixed point index
Positive solutions of singular Dirichlet boundary value problems with time and space singularities
Keywords: 34B16; 34B18; Singular Dirichlet problem; Positive solution; Maximal solution; Time singularity; Weak space singularity; Strong space singularity; Generalized lower and upper functions;
Positive solutions to singular multi-point dynamic eigenvalue problems with mixed derivatives
Keywords: 34B16; 34B18; 34B10; 39A10Time scales; Singular multi-point boundary-value problems; Eigenvalue; Existence; Green’s function
Solving sharply a singular semilinear elliptic equation
Keywords: 35J65; 35B50; 34B16; 34B18; Semilinear; Singular; Maximum principle; Positive solution; Fixed point; Cone;
Bifurcation of sign-changing solutions for one-dimensional pp-Laplacian with a strong singular weight; pp-sublinear at ∞∞
Keywords: 34B09; 34B16; 34C23pp-Laplace equation; Singular weight; Leray–Schauder degree; Bifurcation; Positive solutions; Sign-changing solutions
Existence of nontrivial solutions for a nonlinear Sturm–Liouville problem with integral boundary conditions
Keywords: 34B10; 34B15; 34B16; 47H11Singular integral boundary value problem; Nontrivial solution; Spectral radius; Topological degree; Fixed point
Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right
Keywords: 34B18; 34B16; 34B15Nonlinear ordinary differential equation; Boundary value problem; Positive solution; Existence; Multiplicity
Positive periodic solutions of Hill’s equations with singular nonlinear perturbations
Keywords: 34B15; 34B16; 34D20Positive periodic solution; Hill equation; Strong singularity; Weak singularity; Leray–Schauder alternative principle; Fixed point theorem in cones
Periodic solutions for second-order differential equations with a singular nonlinearity
Keywords: 34B16; 34B18; 34B27Positive periodic solutions; Singularity; Green’s function
Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends
Keywords: 34B16; 34B18Nonlinear ordinary differential equation; Boundary value problem; Singularity; Positive solution; Existence; Multiplicity
Periodic solutions of nonlinear perturbations of ϕϕ-Laplacians with possibly bounded ϕϕ
Keywords: 34B15; 34B16; 34C25ϕϕ-Laplacian; Periodic solutions; Continuation theorem; Leray–Schauder degree
Existence of nodal solutions for Lidstone eigenvalue problems
Keywords: 34B16; 34B18Lidstone eigenvalue problem; Nodal solution; Existence; Bifurcation methods
Existence of solutions to an initial value problem for the differential equation f(t,x,xâ²)=0 using barrier strips
Keywords: 34B15; 34B16; Initial value problems; First order differential equations; Singularity; Existence; Global solutions;
Positive solutions for a three-point boundary value problem
Keywords: 34B16; 34B18Second-order singular equation; Three-point boundary value problem; Positive solution; Green’s function
Elastic beam problem with higher order derivatives
Keywords: 34B15; 34B16; 34B18Green's function; Fixed point theorems; Multiple solutions; Fourth-order boundary value problem