Keywords: Volterra equation; Nonlinearity; Power-type; Numerical method; 45D05; 65R20; 45G10;
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Keywords: 45G10; 47H17; 65J15; 65G99; Multi-step Newton-type method; Banach space; Euclidean space; Semi-local convergence; Center-Lipschitz and Lipschitz conditions; Systems of differential equations;
Keywords: 45G10; 26A33; 40C05; 97N20; Hat functions; Nonlinear quadratic integral equation; Fractional calculus; Operational matrix; Error analysis;
Keywords: 45G10; 65R20; 68U20; 65C20; Bernstein polynomials; System of Volterra-Fredholm integral equations; Convergence analysis; Numerical algorithm; Gaussian quadrature;
Keywords: Volterra–Fredholm integral equation; Fibonacci collocation method; Error estimate65D30; 41A10; 45G10
Keywords: Nonlinear equations; Newton-like methods; Iterated projection approximation; Integral equations; 65J15; 45G10; 35P05;
Keywords: 34K12; 34K20; 34K25; 45G10; 92D40Competition; Larva; Juvenile; Stage-structure; Delay; Stability
Keywords: 45G10; Weakly singular Fredholm integro-differential equation; Piecewise homotopy perturbation method;
Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations
Keywords: 45B05; 45G10; 65R20; Fredholm-Hammerstein integral equations; Weakly singular kernels; Galerkin method; Multi-Galerkin method; Legendre polynomial; Superconvergence rates;
Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
Keywords: Two-dimensional shifted Legendre polynomials; Two-dimensional fractional integral equations; Error estimate; Numerical algorithm; 45G10; 65R20; 68U20; 65C20;
Time change equations for Lévy-type processes
Keywords: 60J75; 45G10; 60G17; Lévy-type process; Symbol; Random time change; Multiplicative perturbation;
New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
Keywords: primary; 35B09; 35J25; 45G10; 45M20; secondary; 34B10; 34B18; 47A10; 47H14; 47H30; Radially symmetric solution; Hammerstein integral equation; Nonlocal boundary condition; Sign-changing Green's function; Vanishing Green's function;
Convergence analysis of the multistep Legendre pseudo-spectral method for Volterra integral equations with vanishing delays
Keywords: 45D05; 45G10; 41A10; 65L60; 65L70; Volterra integral equation; Multistep method; Convergence;
Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations
Keywords: 45B05; 45G10; 65R20; Fredholm-Hammerstein integral equations; Smooth kernels; Projection method; Multi-projection method; Legendre polynomial; Superconvergence rates;
Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon
Keywords: 45G10; 65R20COSMO-RS model; Hammerstein integral equation; Bernstein collocation method; Haar wavelet method; Sinc collocation method
Legendre spectral collocation method for the solution of the model describing biological species living together
Keywords: 45G10; 65R20Integro-differential equations; Gauss–Legendre quadrature; Bernstein polynomials
Haar wavelet method for some nonlinear Volterra integral equations of the first kind
Keywords: 65R20; 45G10; 45D05; 41A30Nonlinear Volterra integral equation; Haar wavelet; Operational matrix
Numerical solution of Volterra–Fredholm integral equations via modification of hat functions
Keywords: 45D05; 45B05; 45G10; 65D30Volterra–Fredholm integral equations; Modified hat functions; Vector forms; Operational matrices; Error analysis
A multistep Legendre pseudo-spectral method for Volterra integral equations
Keywords: Volterra integral equation; Multistep method; Convergence; 45D05; 45G10; 41A10; 65L60; 65L70;
Fractional p-Laplacian evolution equations
Keywords: 45G10; 45J05; 47H06Fractional Sobolev spaces; p-Laplacian; Dirichlet problem; Cauchy problem; Neumann problem
Regular traveling waves for a nonlocal diffusion equation
Keywords: 35K57; 45G10; 92D25Regular traveling waves; Existence and uniqueness; Nonlocal diffusion equations, delayed nonlinearity
TM-waves guided by a nonlinear film with complex permittivity
Keywords: 81V80; 78A45; 34L30; 45G10; 65R20; Integral equations; TM-waves; Planar waveguide; Nonlinear permittivity; Dispersion relation; Banach fixed point theorem;
Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
Keywords: 45G10; 65R20Two-dimensional Volterra integral equation; Legendre polynomials; Operational matrix; Best approximation; Polynomial interpolation
Pulsating fronts for nonlocal dispersion and KPP nonlinearity
Keywords: 45C05; 45G10; 45M15; 45M20; 92D25Periodic front; Nonlocal dispersal; KPP nonlinearity
A note on differential and integral equations in the spaces of functions of ΛΛ-bounded variation
Keywords: 45G10; 26A45Banach contraction principle; Convolution operator; Hammerstein integral equation; ΛΛ-variation; Linear differential equation; Lovelady’s fixed point theorem; Mapping of higher order; Mixed Volterra–Fredholm integral equation; Nonautonomous su
The numerical solution of the non-linear integro-differential equations based on the meshless method
Keywords: 65R20; 45D05; 45G10; 47G20Moving least square method; Fredholm integro-differential equation; Volterra integro-differential equation; Error analysis
Majorizing sequences for Newton’s method from initial value problems
Keywords: 45G10; 47H99; 65J15Newton’s method; Semilocal convergence; Majorizing sequence; Order of convergence; Kantorovich’s technique; Bratu’s equation
Applying a fixed point theorem of Krasnosel’skii type to the existence of asymptotically stable solutions for a Volterra–Hammerstein integral equation
Keywords: 47H10; 45G10; 47N20; 65J15The fixed point theorem of Krasnosel’skii type; Volterra–Hammerstein integral equation; Contraction mapping; Completely continuous; Asymptotically stable solution
On a quadratic fractional Hammerstein–Volterra integral equation with linear modification of the argument
Keywords: 45G10; 45M99; 47H09Quadratic integral equation; Hammerstein–Volterra; Linear modification of the argument; Monotonic solutions; Fractional orders; Measure of noncompactness; Darbo’s fixed point theorem
Existence of positive pseudo almost periodic solutions to a class of neutral integral equations
Keywords: 45G10; 34K14Pseudo almost periodic; Neutral integral equation; Positive solution
The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space
Keywords: 47H10; 45G10; 47N20; 65J15A fixed point theorem of Krasnosel’skii type; Nonlinear functional integral equations; Contraction mapping; Completely continuous; Asymptotically stable solution
Solving nonlinear integral equations of Fredholm type with high order iterative methods
Keywords: 45G10; 47H99; 65J15; Iterative methods; Hybrid methods; Order of convergence; Efficiency; Semilocal convergence; Fredholm integral equation;
On a nonlinear Hammerstein integral equation with a parameter
Keywords: 45G10; 39A12Existence; Multiplicity; Hammerstein integral equation; Critical point
Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation
Keywords: 45G10; 34A34; 45M05; 47J05Nonlinear integral equation; Asymptotic behavior; Schauder fixed point theorem
Monotonic solutions of a perturbed quadratic fractional integral equation
Keywords: 45G10; 45M99; 47H09; Quadratic integral equation; Monotonic solutions; Perturbed; Measure of noncompactness; Darbo's fixed point theorem;
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations
Keywords: 49L25; 35F25; 35K65; 35A05; 35D05; 45G10; 47H10Nonlocal Hamilton–Jacobi Equations; Existence results; Dislocation dynamics; Fitzhugh–Nagumo system; Nonlocal front propagation; Viscosity solutions; L1L1-dependence in time
Asymptotic properties of solutions to some nonlinear integral equations of convolution type
Keywords: 45G10; 45M05Nonlinear integral equation; Asymptotic convergence
A Steffensen's type method in Banach spaces with applications on boundary-value problems
Keywords: 45G10; 47H17; 65J15; Steffensen's scheme; Shooting method; Boundary-value problems;
Existence of positive almost automorphic solutions to neutral nonlinear integral equations
Keywords: 45G10; 34K14Almost automorphic; Almost periodic; Fixed point; Mixed monotone operator; Neutral; Positive
A note on a modification of Moser's method
Keywords: 45G10; 47H17; 65J15Iterative processes; R-order of convergence; Semilocal convergence
The structure of optimal time- and age-dependent harvesting in the Lotka–McKendrik population model
Keywords: 92D25; 49K22; 45G10; 37N25; 91B76Harvesting; Age-structured populations; Optimal harvesting age; Bang–bang control
The Wiener disorder problem with finite horizon
Keywords: primary; 60G40; 35R35; 45G10; secondary; 62C10; 62L15; 62M20Disorder problem; Wiener process; Optimal stopping; Finite horizon; Parabolic free-boundary problem; A nonlinear Volterra integral equation of the second kind; Curved boundary; A change-of-variab
Existence and nonexistence results for positive solutions of an integral boundary value problem
Keywords: 34B10; 45G10; 45M20Integral boundary value problem; Positive solution; Spectral radius; Dual operator
Nonlinear optimal control of vintage capital lifetime and irreversible investments
Keywords: 45G10; 91B62; 93A30; 65K10; Nonlinear optimal control; Integral models; Mathematical economics; Vintage capital; Capital lifetime;
Existence and uniqueness of solutions of Abel integral equations with power-law non-linearities
Keywords: 45D05; 45G10; 45M20; Nonlinear Abel integral equations; Convolution kernel; Non-convolution kernel; Non-unique solution; Power-law non-linearity; Cones in Banach spaces;
On a characterization of some Newton-like methods of R-order at least three
Keywords: 45G10; 47H17; 65J15; Iterative processes; R-order of convergence; Semilocal convergence;
Strong solutions for differential equations in abstract spaces
Keywords: primary 45N05; 45G10; 65L05; secondary 46A03; 46B10; 46B50; Differential equations in locally convex spaces; Strong solutions; Regularity theory;
Finite expiry Russian options
Keywords: 91B28; 35R35; 45G10; American options; Russian options; Optimal stopping problem; Stefan boundary problem; Local time-space;