Keywords: Linear differential equation; Delay; Third-order; Noncanonical operators; Oscillation; 34C10; 34K11;
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Keywords: 34B30; 34C10; Hill's equation; Oscillation problem; Damped linear differential equations; Riccati inequality; Oscillation constant;
Keywords: Linear Hamiltonian differential systems; Transformation theory; Reciprocity principle; Comparative index; 34C10; 39A21;
Keywords: 34C10; Linear Hamiltonian system; Proper focal point; Principal solution; Antiprincipal solution; Controllability;
Keywords: 34A34; 34C10; 34D05; 34E99; Existence of the solution; Uniqueness of the solution; Decay rate;
Keywords: primary; 34B24; 34C10; secondary; 34L15; 34L05; Matrix oscillation theory; Hamiltonian systems; Sturm-Liouville and Dirac-type operators; Eigenvalue counting in essential spectral gaps;
Keywords: 34C10; Linear Hamiltonian system; Sturmian separation theorem; Proper focal point; Comparative index; Conjoined basis; Controllability;
Keywords: Oscillation; Neutral differential equation; Second-order equation; 34C10; 34K11;
Keywords: Galactic potential; Family of periodic orbits; Averaging theory; 34C10; 34C25;
Keywords: 34C10; Linear Hamiltonian system; Genus of conjoined bases; Principal solution at infinity; Antiprincipal solution at infinity; Riccati differential equation; Controllability;
Keywords: One-dimensional Dirac system; Eigenvalue; Eigenvector-function; Oscillation properties of the eigenvector-functions34A30; 34B05; 34B15; 34C10; 34C23; 34K29; 47J10; 47J15
Keywords: Oscillatory solution; Asymptotic behavior; Advanced differential equation; Half-linear; Even-order; 34C10; 34K11;
Keywords: Opial and Wirtinger inequalities; Fourth-order differential equations; Bending of rods34K11; 34C10
Keywords: Third order differential equations; Advanced argument; Oscillation34K11; 34C10
The Emden-Fowler equation on a spherical cap of Sn
Keywords: primary; 35J60; 35B32; secondary; 34C23; 34C10; Bifurcation diagram; Joseph-Lundgren exponent; Singular solution; Infinitely many turning points;
A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
Keywords: primary; 35J25; 35B32; secondary; 35J61; 34C10; Singular solution; Morse index; Infinitely many positive solutions; Joseph-Lundgren exponent;
Properties of Kneser solutions for third-order differential equations
Keywords: Third-order differential equation; Kneser solution; Oscillation; 34K11; 34C10;
Lyapunov type inequalities for mixed nonlinear Riemann-Liouville fractional differential equations with a forcing term
Keywords: 34A08; 34A40; 34C10; Lyapunov type inequality; Sub-linear; Super-linear; Forced; Fractional; Riemann-Liouville;
Lyapunov type inequalities for second order forced mixed nonlinear impulsive differential equations
Keywords: Lyapunov type inequality; Mixed nonlinear; Sub-linear; Super-linear; Forced; Impulse34A37; 34C10
Bounds on real and imaginary parts of non-real eigenvalues of a non-definite Sturm-Liouville problem
Keywords: 34C10; 34B25; Non-definite; Indefinite; Dirichlet problem; Turning point; Spectrum; Non-real eigenvalues;
Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
Keywords: 34C10; Linear Hamiltonian system; Antiprincipal solution at infinity; Principal solution at infinity; Order of abnormality; Genus of conjoined bases; Moore-Penrose pseudoinverse;
Global behavior of the solutions to a class of nonlinear, singular second order ODE
Keywords: 34A34; 34C10; 34D05; 34E99Second order scalar ODE; Existence of solution; Oscillatory solutions; Decay rate
Existence of sign changing solutions for an equation with a weighted pp-Laplace operator
Keywords: 34C10; 35B05; 37B55pp-Laplace operator; Nodal solutions; Nodes; Shooting method; Hamiltonian systems; Energy methods; Action–angle variables; Compact support
Unilateral global bifurcation phenomena and nodal solutions for p-Laplacian
Keywords: 34C10; 34C23p-Laplacian; Unilateral global bifurcation; Nodal solution
Oscillation of second-order half-linear delay dynamic equations with damping on time scales
Keywords: 34K11; 34C10; 34A99; Oscillation criterion; Dynamic equations; Time scale; Half-linear;
On the distribution of zeros of solutions of first order delay differential equations
Keywords: 34C10; 34K11Distribution of zeros; Adjacent zeros; Oscillation; Delay differential equations
Stability, resonance and Lyapunov inequalities for periodic conservative systems
Keywords: 34B05; 34B15; 34C10; 34C15Lyapunov inequalities; Periodic boundary value problems; Resonance; Stability; Conservative systems
Blow up oscillating solutions to some nonlinear fourth order differential equations
Keywords: 34C10; 34A12; 65L05Finite time blow up; Oscillations
Conjugacy criteria for half-linear ODE in the theory of PDE with generalized pp-Laplacian and mixed powers
Keywords: 34C10; 35J60; 35B05Partial differential equation; pp-Laplacian; Conjugacy criteria; Oscillation criteria
Oscillation of damped PDE with p-Laplacian in unbounded domains
Keywords: 35B05; 35J60; 34C10; Oscillation; PDE with p-Laplacian; Damped; Unbounded domains;
Convexity of the zeros of some orthogonal polynomials and related functions
Keywords: 33C45; 34C10; 42C05Orthogonal polynomials; Zeros; Laguerre polynomials; Jacobi polynomials; Ultraspherical polynomials; Convexity
Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations
Keywords: 34C10; 39A1002.30.Hq; 02.30.Ks; 02.60.Lj; 02.70.BfDynamic equation; Time scale; Nonlinear; Superlinear; Sublinear; Oscillation
On the eigenfunction expansions associated with semilinear Sturm–Liouville-type problems
Keywords: 34L10; 34B15; 34B40; 34C10; 34L30; 34L99; 42C15Semilinear Sturm–Liouville operator; Eigenvalue problem; Autonomous equation; Boundary value problem; Eigenfunction expansion; Problem in a bounded interval; Problem in a half-line; Basis; Riesz basis; Bari t
Oscillation and nonoscillation of second order differential equations with delay depending on the unknown function
Keywords: 34C10; 34k15Oscillation; Nonoscillation; Asymptotic behavior; Second order differential equations; Delay depending on the unknown function
Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales
Keywords: 34K11; 34C10; 39A11; 39A13; Time scales; Oscillation; Riccati substitution; Second order;
Asymptotic properties of solutions of third-order nonlinear differential equations with deviating argument
Keywords: 34C10; 34K11Comparison theorem; Property AA; Nonlinear equation; Deviating argument; Quasiderivatives
Interval criteria for oscillation of second-order nonlinear differential equations
Keywords: 34C10; Nonlinear differential equations; Oscillation; Interval criteria;
Philos-type oscillation criteria for Emden–Fowler neutral delay differential equations
Keywords: 34K40; 34C10; 34C15Oscillation; Neutral delay differential equation; Second order; Emden–Fowler
Oscillation of second order neutral equations with distributed deviating argument
Keywords: 34C10; 34k11; 34K40Oscillation; Neutral delay differential equation; Second order; Distributed deviating argument; Integral averaging techniques
Asymptotic behavior of solutions of second order quasilinear differential equations with delay depending on the unknown function
Keywords: 34C10; 34K15Asymptotic behavior of solutions; Differential equations of second order with delay
Bounds and critical parameters for a combustion problem
Keywords: 34C10; 80A25; 35J25Comparison theory; Combustion theory; Elliptic equations
Oscillation of second order self-conjugate differential equation with impulses
Keywords: 34c10; 34k11Self-conjugate differential equation; Impulses; Oscillation
On the asymptotic behavior of solutions of a nonlinear difference-differential equation
Keywords: 34C10; 34K15; Asymptotic behavior; Nonlinear; Delay differential equation;
Sturmian comparison theory for linear and half-linear impulsive differential equations
Keywords: 34A37; 34C10; Sturmian comparison; Oscillation; Half-linear; Impulse;
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
Keywords: 34K11; 39A10; 39A99 (34A99;34C10;39A11); Oscillation; Third-order nonlinear dynamic equation; Time scale; Riccati transformation technique;
Oscillation criteria of second-order half-linear dynamic equations on time scales
Keywords: 34K11; 34C10; 93C70; Oscillation; Second-order half-linear dynamic equations; Time scale;
Half-linear equations and characteristic properties of the principal solution
Keywords: 34C10; Half-linear differential equation; Principal solution; Limit characterization; Integral characterization; Reciprocity principle;